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Finding the Fourth Proportional to 416,577,151.80, 624,865,727.70 and 416,577,151.80

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Solution

The fourth proportional to 416,577,151.80, 624,865,727.70 and 416,577,151.80 is: 624,865,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,577,151.80 : 624,865,727.70 = 416,577,151.80 : x
  2. Step 2: Convert to fraction form
    416,577,151.80/624,865,727.70 = 416,577,151.80/x
  3. Step 3: Cross multiply
    416,577,151.80x = 624,865,727.70 × 416,577,151.80
  4. Step 4: Simplify right side
    416,577,151.80x = 260,304,785,102,700,384
  5. Step 5: Solve for x
    x = 260,304,785,102,700,384/416,577,151.80
  6. Step 6: Final answer
    x = 624,865,727.70

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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.