"with full responsibility" is correct and can be used in written English.
It can be used to emphasize that someone is taking responsibility for something they're doing or have done. For example, "I accepted the challenge with full responsibility and worked hard to achieve my goal."
The legally constituted governing body of the hospital, with full responsibility for the conduct and efficient management of the hospital, is usually a hospital board.
Free association, as defined in the compacts, gave the republics full internal self-government and substantial authority in foreign affairs but vested the United States with full responsibility and authority for their defense for a number of years.
For example, having served as a judge on Popstars: The Rivals, Geri once credited herself with full responsibility for Cheryl Cole's subsequent career, humbly professing: "I picked her so I'm really thrilled with her success".
Prime Minister Benjamin Netanyahu said the move to set up an inquiry would demonstrate clearly "to the entire world that the state of Israel acts according to law, transparently and with full responsibility," according to remarks posted on his Web site.
As Kevin Drum says, "The whole thing is so patently, ridiculously political that it's breathtaking .The idea, from a Republican perspective, is to saddle the president with full responsibility for the unpopular move of raising the debt limit and back away from fomenting a new economic crisis (always a smart move).
The Israeli prime minister, Benjamin Netanyahu, told his ministers on Monday that he believed that the cabinet's decision "to establish a special, independent public commission will make it clear to the entire world that the State of Israel acts according to law, transparently and with full responsibility".
A senior administration official described China as a "peculiar adolescent that can no longer hide behind its status as a developing nation, but does not see itself with the full responsibility of a global power".
Unsurprisingly Tyrion Lannister is the star of "Blackwater," since Joffrey soon reveals his true nature as an unmitigated coward (in addition to all his other appealing qualities), leaving Tyrion with the full responsibility of leadership in the battle.
Early in their marriage, Clarence and Alice Howe had decided to separate their roles, with Alice Howe having full responsibility for their domestic lives.
As MSNBC's Chris Hayes put it, "I find this obsession with Clinton taking full responsibility for her loss from ostensibly 'objective' observers really weird".
"Municipality Novi Grad Sarajevo has recognized the value and need for such services and proving it with taking the full responsibility for financing the Center for early childhood development, seeking to ensure the best start for every child in our municipality," said Damir Hadzic, Mayor of Novi Grad Sarajevo municipality.
