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Finding the Fourth Proportional to 83,602,351,640.70, 125,403,527,461.05 and 83,602,351,640.70

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Solution

The fourth proportional to 83,602,351,640.70, 125,403,527,461.05 and 83,602,351,640.70 is: 125,403,527,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,351,640.70 : 125,403,527,461.05 = 83,602,351,640.70 : x
  2. Step 2: Convert to fraction form
    83,602,351,640.70/125,403,527,461.05 = 83,602,351,640.70/x
  3. Step 3: Cross multiply
    83,602,351,640.70x = 125,403,527,461.05 × 83,602,351,640.70
  4. Step 4: Simplify right side
    83,602,351,640.70x = 10,484,029,799,782,879,854,592
  5. Step 5: Solve for x
    x = 10,484,029,799,782,879,854,592/83,602,351,640.70
  6. Step 6: Final answer
    x = 125,403,527,461.05

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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.