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Finding the Fourth Proportional to 412,656,013.60, 618,984,020.40 and 274,906,506.40

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Solution

The fourth proportional to 412,656,013.60, 618,984,020.40 and 274,906,506.40 is: 412,359,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,656,013.60 : 618,984,020.40 = 274,906,506.40 : x
  2. Step 2: Convert to fraction form
    412,656,013.60/618,984,020.40 = 274,906,506.40/x
  3. Step 3: Cross multiply
    412,656,013.60x = 618,984,020.40 × 274,906,506.40
  4. Step 4: Simplify right side
    412,656,013.60x = 170,162,734,565,590,304
  5. Step 5: Solve for x
    x = 170,162,734,565,590,304/412,656,013.60
  6. Step 6: Final answer
    x = 412,359,759.60

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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.