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Finding the Fourth Proportional to 36,200,981,583.70, 54,301,472,375.55 and 36,200,981,583.70

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Solution

The fourth proportional to 36,200,981,583.70, 54,301,472,375.55 and 36,200,981,583.70 is: 54,301,472,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200,981,583.70 : 54,301,472,375.55 = 36,200,981,583.70 : x
  2. Step 2: Convert to fraction form
    36,200,981,583.70/54,301,472,375.55 = 36,200,981,583.70/x
  3. Step 3: Cross multiply
    36,200,981,583.70x = 54,301,472,375.55 × 36,200,981,583.70
  4. Step 4: Simplify right side
    36,200,981,583.70x = 1,965,766,601,435,079,770,112
  5. Step 5: Solve for x
    x = 1,965,766,601,435,079,770,112/36,200,981,583.70
  6. Step 6: Final answer
    x = 54,301,472,375.55

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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.