Which preposition to use with quadruple

in Occurrences 8%

If such could have then been the effects of its influence, how much greater must be the danger at this time, quadrupled in amount as it certainly is and more completely under the control of the Executive will than their construction of their powers allowed or the forbearing characters of all the early Presidents permitted them to make.

at Occurrences 1%

But as I rose, and the Earth's attraction diminished in proportion to the square of the distance from her centrewhich was doubled at 8000 miles, quadrupled at 16,000, and so onthe Sun's attraction, which was not perceptibly affected by differences so small in proportion to his vast distance of 95,000,000 miles, became a more and more important element in the total gravity.

by Occurrences 1%

The population of my own courtyard had quadrupled by five o'clock.

of Occurrences 1%

Two houses advanced to Edward III of England upwards of three hundred thousand marks, at a time when the mark contained more silver than fifty shillings of the present day, and when the value of silver was more than quadruple of what it now is.

on Occurrences 1%

Though partially abandoned, Melun was full of life, thanks to the presence of numerous British troops and that same long line of A. S. C.'s now quadrupled on the highroadtwo lines going, two lines coming.

Which preposition to use with  quadruple