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Finding the Fourth Proportional to 687,998,411.20, 965,918,753.60 and 687,998,411.20

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Solution

The fourth proportional to 687,998,411.20, 965,918,753.60 and 687,998,411.20 is: 965,918,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,998,411.20 : 965,918,753.60 = 687,998,411.20 : x
  2. Step 2: Convert to fraction form
    687,998,411.20/965,918,753.60 = 687,998,411.20/x
  3. Step 3: Cross multiply
    687,998,411.20x = 965,918,753.60 × 687,998,411.20
  4. Step 4: Simplify right side
    687,998,411.20x = 664,550,567,825,084,288
  5. Step 5: Solve for x
    x = 664,550,567,825,084,288/687,998,411.20
  6. Step 6: Final answer
    x = 965,918,753.60

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