The quality or state of being preponderant; superiority or excess of weight, influence, or power, etc.; an outweighing. [
1913 Webster]
"The mind should . . . reject or receive proportionably to the preponderancy of the greater grounds of probability."
[1913 Webster]
"In a few weeks he had changed the relative position of all the states in Europe, and had restored the equilibrium which the preponderance of one power had destroyed."
[1913 Webster]