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Finding the Fourth Proportional to 863,138,609.70, 1,294,707,914.55 and 494,294,936.10

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Solution

The fourth proportional to 863,138,609.70, 1,294,707,914.55 and 494,294,936.10 is: 741,442,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,138,609.70 : 1,294,707,914.55 = 494,294,936.10 : x
  2. Step 2: Convert to fraction form
    863,138,609.70/1,294,707,914.55 = 494,294,936.10/x
  3. Step 3: Cross multiply
    863,138,609.70x = 1,294,707,914.55 × 494,294,936.10
  4. Step 4: Simplify right side
    863,138,609.70x = 639,967,565,890,656,512
  5. Step 5: Solve for x
    x = 639,967,565,890,656,512/863,138,609.70
  6. Step 6: Final answer
    x = 741,442,404.15

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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.