This is the 1390th most frequent Russian word.
большая
Big; large.
The word 'большая' is the feminine singular form of the adjective 'большой', agreeing with the feminine noun 'собака' to describe its size.
У неё большая собака.
She has a big dog.
Here, 'большая' describes the noun 'ответственность' (responsibility), which is also feminine singular, emphasizing the magnitude or seriousness.
Это большая ответственность.
This is a big responsibility.
In this instance, 'большая' modifies 'книга' (book), again matching its gender and number, to describe its physical size.