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Finding the Fourth Proportional to 640,963,529.80, 961,445,294.70 and 419,033,768.20

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Solution

The fourth proportional to 640,963,529.80, 961,445,294.70 and 419,033,768.20 is: 628,550,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,963,529.80 : 961,445,294.70 = 419,033,768.20 : x
  2. Step 2: Convert to fraction form
    640,963,529.80/961,445,294.70 = 419,033,768.20/x
  3. Step 3: Cross multiply
    640,963,529.80x = 961,445,294.70 × 419,033,768.20
  4. Step 4: Simplify right side
    640,963,529.80x = 402,878,044,756,300,480
  5. Step 5: Solve for x
    x = 402,878,044,756,300,480/640,963,529.80
  6. Step 6: Final answer
    x = 628,550,652.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.