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Finding the Fourth Proportional to 408,855,277,972.80, 613,282,916,959.20 and 408,855,277,972.80

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Solution

The fourth proportional to 408,855,277,972.80, 613,282,916,959.20 and 408,855,277,972.80 is: 613,282,916,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855,277,972.80 : 613,282,916,959.20 = 408,855,277,972.80 : x
  2. Step 2: Convert to fraction form
    408,855,277,972.80/613,282,916,959.20 = 408,855,277,972.80/x
  3. Step 3: Cross multiply
    408,855,277,972.80x = 613,282,916,959.20 × 408,855,277,972.80
  4. Step 4: Simplify right side
    408,855,277,972.80x = 250,743,957,489,323,316,609,024
  5. Step 5: Solve for x
    x = 250,743,957,489,323,316,609,024/408,855,277,972.80
  6. Step 6: Final answer
    x = 613,282,916,959.20

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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.