# A ruler won't help you here

**Geometry**Level 3

You are given a nonrotated ellipse. This ellipse's foci are at (-4, 0) and (4, 0). What must be the value of \(d\), such that the length of the red line divided by the length of the orange line equals the length of the green line divided by the length of the yellow line? The yellow and orange lines are both perpendicular to \( x= -d \) and \(x = d\), respectively. Enter your answer as \(100d\).