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Finding the Fourth Proportional to 534,991,105.20, 802,486,657.80 and 534,991,105.20

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Solution

The fourth proportional to 534,991,105.20, 802,486,657.80 and 534,991,105.20 is: 802,486,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,991,105.20 : 802,486,657.80 = 534,991,105.20 : x
  2. Step 2: Convert to fraction form
    534,991,105.20/802,486,657.80 = 534,991,105.20/x
  3. Step 3: Cross multiply
    534,991,105.20x = 802,486,657.80 × 534,991,105.20
  4. Step 4: Simplify right side
    534,991,105.20x = 429,323,223,964,676,160
  5. Step 5: Solve for x
    x = 429,323,223,964,676,160/534,991,105.20
  6. Step 6: Final answer
    x = 802,486,657.80

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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.