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Finding the Fourth Proportional to 12,132,317,423.70, 18,198,476,135.55 and 12,132,317,423.70

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Solution

The fourth proportional to 12,132,317,423.70, 18,198,476,135.55 and 12,132,317,423.70 is: 18,198,476,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132,317,423.70 : 18,198,476,135.55 = 12,132,317,423.70 : x
  2. Step 2: Convert to fraction form
    12,132,317,423.70/18,198,476,135.55 = 12,132,317,423.70/x
  3. Step 3: Cross multiply
    12,132,317,423.70x = 18,198,476,135.55 × 12,132,317,423.70
  4. Step 4: Simplify right side
    12,132,317,423.70x = 220,789,689,104,121,921,536
  5. Step 5: Solve for x
    x = 220,789,689,104,121,921,536/12,132,317,423.70
  6. Step 6: Final answer
    x = 18,198,476,135.55

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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.