Why did the ten commandments of the Old Testament eventually become eternal values for many nations?

because they contain the basic norms of human behavior, on which relations in society were held for a long time. Christianity has spread among many nations. Consequently, these peoples adopted the principles of Christianity described in the Ten Commandments.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.