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Finding the Fourth Proportional to 515,996,906.90, 724,436,403.10 and 515,996,906.90

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Solution

The fourth proportional to 515,996,906.90, 724,436,403.10 and 515,996,906.90 is: 724,436,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,996,906.90 : 724,436,403.10 = 515,996,906.90 : x
  2. Step 2: Convert to fraction form
    515,996,906.90/724,436,403.10 = 515,996,906.90/x
  3. Step 3: Cross multiply
    515,996,906.90x = 724,436,403.10 × 515,996,906.90
  4. Step 4: Simplify right side
    515,996,906.90x = 373,806,943,245,361,536
  5. Step 5: Solve for x
    x = 373,806,943,245,361,536/515,996,906.90
  6. Step 6: Final answer
    x = 724,436,403.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.