Even split?

Geometry Level pending

Eight circles with equal radii are packed together like this:

Is there any way to draw a single straight line that has an equal area of red on each side, an equal area of yellow on each side, and and equal area of blue on each side?

Note: The solution, of course, would include different amounts of each color on each side of the line. i.e. There will be twice as much blue as either red or yellow on each side of the line.


Inspiration.

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