一道英语时态题目As early as his second film,Chaplin had developed hi

一道英语时态题目
As early as his second film,Chaplin had developed his own manner of acting,the one that_____world famous.
A.became
B.was to become
正确答案是B,但是我想问的是它原句中有had developed(过去完成时),那么表示这一行为之后的一个行为不是应该用became(一般过去时)吗,为什么一定要用was to become?
be to do sth.是一个现在的时态还是一个将来的时态？

我来回答,我学英语的.
可以这样说be to do sth 是一般现在时表达将来时态
the one代指his own manner of acting 叫你填的是他自己的表演风格后来世界闻名.
我给你翻译：早到他的第二部电影时, CHAPLIN就已经形成他自己的表演风格,而那个风格后来将闻名世界.