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Finding the Fourth Proportional to 408,855,276,002.55, 613,282,914,003.82 and 408,855,276,002.55

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Solution

The fourth proportional to 408,855,276,002.55, 613,282,914,003.82 and 408,855,276,002.55 is: 613,282,914,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855,276,002.55 : 613,282,914,003.82 = 408,855,276,002.55 : x
  2. Step 2: Convert to fraction form
    408,855,276,002.55/613,282,914,003.82 = 408,855,276,002.55/x
  3. Step 3: Cross multiply
    408,855,276,002.55x = 613,282,914,003.82 × 408,855,276,002.55
  4. Step 4: Simplify right side
    408,855,276,002.55x = 250,743,955,072,679,940,194,304
  5. Step 5: Solve for x
    x = 250,743,955,072,679,940,194,304/408,855,276,002.55
  6. Step 6: Final answer
    x = 613,282,914,003.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.