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Finding the Fourth Proportional to 415,321,215.70, 622,981,823.55 and 415,321,215.70

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Solution

The fourth proportional to 415,321,215.70, 622,981,823.55 and 415,321,215.70 is: 622,981,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,321,215.70 : 622,981,823.55 = 415,321,215.70 : x
  2. Step 2: Convert to fraction form
    415,321,215.70/622,981,823.55 = 415,321,215.70/x
  3. Step 3: Cross multiply
    415,321,215.70x = 622,981,823.55 × 415,321,215.70
  4. Step 4: Simplify right side
    415,321,215.70x = 258,737,568,315,788,864
  5. Step 5: Solve for x
    x = 258,737,568,315,788,864/415,321,215.70
  6. Step 6: Final answer
    x = 622,981,823.55

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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.