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Finding the Fourth Proportional to 981,226,614,098.92, 1,471,839,921,148.40 and 981,226,614,098.92

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Solution

The fourth proportional to 981,226,614,098.92, 1,471,839,921,148.40 and 981,226,614,098.92 is: 1,471,839,921,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,226,614,098.92 : 1,471,839,921,148.40 = 981,226,614,098.92 : x
  2. Step 2: Convert to fraction form
    981,226,614,098.92/1,471,839,921,148.40 = 981,226,614,098.92/x
  3. Step 3: Cross multiply
    981,226,614,098.92x = 1,471,839,921,148.40 × 981,226,614,098.92
  4. Step 4: Simplify right side
    981,226,614,098.92x = 1,444,208,502,324,065,801,863,168
  5. Step 5: Solve for x
    x = 1,444,208,502,324,065,801,863,168/981,226,614,098.92
  6. Step 6: Final answer
    x = 1,471,839,921,148.40

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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.