极其 = extremely
很 = very
挺 = fairly
极其>很>挺
Comparing the following sentences:
昨天极其冷 - the temperature was 20 degrees below zero
昨天很冷 - the temperature was 10 degrees below zero
昨天挺冷 - the temperature was 5 degrees below zero
"极其" usually used in written language, and "挺" is mostly used in spoken language. "很" can be used in both.