基于文件内容和模式匹配拆分文件

I need your help with formate a txt file using bash/linux. The file looks like the following, it always has a line called Rate: Sth then it follows with the details in the very specific format. I'd like to split the file up with one rate for each file. In this example, I'd like to have 3 file, and each has the corresponding line says what the Rate value was. I need your help with formate a txt file using