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Finding the Fourth Proportional to 10,905,486,411.20, 16,358,229,616.80 and 10,905,486,411.20

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Solution

The fourth proportional to 10,905,486,411.20, 16,358,229,616.80 and 10,905,486,411.20 is: 16,358,229,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905,486,411.20 : 16,358,229,616.80 = 10,905,486,411.20 : x
  2. Step 2: Convert to fraction form
    10,905,486,411.20/16,358,229,616.80 = 10,905,486,411.20/x
  3. Step 3: Cross multiply
    10,905,486,411.20x = 16,358,229,616.80 × 10,905,486,411.20
  4. Step 4: Simplify right side
    10,905,486,411.20x = 178,394,450,797,301,792,768
  5. Step 5: Solve for x
    x = 178,394,450,797,301,792,768/10,905,486,411.20
  6. Step 6: Final answer
    x = 16,358,229,616.80

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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.