No. 4,354 in Russian
большому
"Dative case of 'большой'" – "to/for the big (one)."
In a sentence
Благодаря большому труду, мы достигли успеха.
Thanks to great effort, we achieved success.
In this sentence, 'большому' is used as an adjective describing the noun 'труду' (effort) in the dative case, showing gratitude toward the effort that contributed to the achievement.
Мы отправили подарок большому другу.
We sent a gift to our great friend.
Here, 'большому' is an adjective describing 'другу' (friend) in the dative case, indicating the recipient of the action (sending the gift).
У него есть ключ от большого дома.
He has the key to the big house.
In this instance, 'большого' is an adjective modifying 'дома' (house) in the genitive case, implying possession or relation.
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