Three absolutely elastic balls of identical radii, whose masses are equal to m1, m2 and m3, lie on a smooth horizontal surface so that their centers are located on the same straight line. The outermost ball m1 is given a speed v0 along the line of ball centers, and it collides with the ball m2. Ball m2 collides with the third ball m3. At what mass ratio will all three balls have the same amounts of momentum after these collisions? Are further collisions of balls possible in this case?
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