"greatly informed" is correct and usable in written English.
You can use it when referring to a person or a situation that has been significantly influenced by a source of information or experience. For example, "My decision was greatly informed by my past experience in similar situations."
The modern understanding of informed consent in the context of research is greatly informed by the Nuremburg code and the large body of ethics literature and analysis that has emerged since World War II [ 7].
"The Harvard cohorts have greatly informed health policy in this country.
He wrote a book on Nuristani architecture that was greatly informed by my grandfather.
Instead, Mr. Brock's efforts at Husk seem to have greatly informed his menu at McCrady's.
Kauffman was fluent in both cataloging and zine culture and greatly informed the practice this chapter details.
I didn't know him well, but like everyone in international economics, I was greatly informed by his work.
Considering the temporal placement of notes in the context of the entire musical phrase as well as para-timbral information could greatly inform the identification of the musical instrument; though it would take the system from a purely acoustic-driven analysis to a more data mining and information retrieval approach.
Thus, future research that assesses the impact of socioeconomic status on the integrated continuum of HPV vaccine awareness, acquisition of information, and vaccine uptake will greatly inform policy makers and health care providers in guiding education and practice.
Theoretical and methodological advances in the cognitive and learning sciences can greatly inform curriculum and instruction in biomedicine and also educational programs in biomedical informatics.
Market and deal performance over the second quarter will influence issuer and investor appetite for the second half of the year and will greatly inform the deal outlook through year-end 2017 and into 2018.
This week's group discussion included an important point: Even without knowing the details of such Semantic Web technologies, simply knowing what is possible can greatly inform our ability to imagine innovations (and to keep up with advances in the field).
