preponderate vs tip the scales

preponderate

verb
  • To overpower by stronger or moral power. 

  • To outweigh; to be heavier than; to exceed in weight. 

  • To exceed in weight or influence; hence, to predominate. 

tip the scales

verb
  • To turn to one side a balanced situation. 

How often have the words preponderate and tip the scales occurred in a corpus of books? (source: Google Ngram Viewer )