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Finding the Fourth Proportional to 24,227,816,800.80, 36,341,725,201.20 and 24,227,816,800.80

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Solution

The fourth proportional to 24,227,816,800.80, 36,341,725,201.20 and 24,227,816,800.80 is: 36,341,725,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227,816,800.80 : 36,341,725,201.20 = 24,227,816,800.80 : x
  2. Step 2: Convert to fraction form
    24,227,816,800.80/36,341,725,201.20 = 24,227,816,800.80/x
  3. Step 3: Cross multiply
    24,227,816,800.80x = 36,341,725,201.20 × 24,227,816,800.80
  4. Step 4: Simplify right side
    24,227,816,800.80x = 880,480,660,399,689,957,376
  5. Step 5: Solve for x
    x = 880,480,660,399,689,957,376/24,227,816,800.80
  6. Step 6: Final answer
    x = 36,341,725,201.20

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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.