This is the 9205th most frequent Russian word.
следуя
"Следуя" means "following" or "proceeding" in English.
In this sentence, 'следуя' is used as a gerund meaning 'by following', denoting adherence to instructions or guidance.
Следуя указаниям, мы успешно завершили проект.
Following the instructions, we successfully completed the project.
Here, 'следуя' indicates reliance on instinct to make a decision, showing a cause-effect relationship.
Следуя своему инстинкту, она приняла правильное решение.
Following her instinct, she made the right decision.
In this usage, 'следуя' emphasizes physical following, meaning 'moving after'.