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Finding the Fourth Proportional to 417,753,706.98, 626,728,581.81 and 410,813,087.52

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Solution

The fourth proportional to 417,753,706.98, 626,728,581.81 and 410,813,087.52 is: 616,316,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,753,706.98 : 626,728,581.81 = 410,813,087.52 : x
  2. Step 2: Convert to fraction form
    417,753,706.98/626,728,581.81 = 410,813,087.52/x
  3. Step 3: Cross multiply
    417,753,706.98x = 626,728,581.81 × 410,813,087.52
  4. Step 4: Simplify right side
    417,753,706.98x = 257,468,303,730,396,960
  5. Step 5: Solve for x
    x = 257,468,303,730,396,960/417,753,706.98
  6. Step 6: Final answer
    x = 616,316,024.08

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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.