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Finding the Fourth Proportional to 10,905,486,400.20, 16,358,229,600.30 and 10,905,486,400.20

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Solution

The fourth proportional to 10,905,486,400.20, 16,358,229,600.30 and 10,905,486,400.20 is: 16,358,229,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905,486,400.20 : 16,358,229,600.30 = 10,905,486,400.20 : x
  2. Step 2: Convert to fraction form
    10,905,486,400.20/16,358,229,600.30 = 10,905,486,400.20/x
  3. Step 3: Cross multiply
    10,905,486,400.20x = 16,358,229,600.30 × 10,905,486,400.20
  4. Step 4: Simplify right side
    10,905,486,400.20x = 178,394,450,437,420,744,704
  5. Step 5: Solve for x
    x = 178,394,450,437,420,744,704/10,905,486,400.20
  6. Step 6: Final answer
    x = 16,358,229,600.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.