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Finding the Fourth Proportional to 417,866,155.80, 626,799,233.70 and 417,866,155.80

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Solution

The fourth proportional to 417,866,155.80, 626,799,233.70 and 417,866,155.80 is: 626,799,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,866,155.80 : 626,799,233.70 = 417,866,155.80 : x
  2. Step 2: Convert to fraction form
    417,866,155.80/626,799,233.70 = 417,866,155.80/x
  3. Step 3: Cross multiply
    417,866,155.80x = 626,799,233.70 × 417,866,155.80
  4. Step 4: Simplify right side
    417,866,155.80x = 261,918,186,244,604,832
  5. Step 5: Solve for x
    x = 261,918,186,244,604,832/417,866,155.80
  6. Step 6: Final answer
    x = 626,799,233.70

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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.