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Finding the Fourth Proportional to 613,874,008.80, 920,811,013.20 and 613,874,008.80

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Solution

The fourth proportional to 613,874,008.80, 920,811,013.20 and 613,874,008.80 is: 920,811,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,874,008.80 : 920,811,013.20 = 613,874,008.80 : x
  2. Step 2: Convert to fraction form
    613,874,008.80/920,811,013.20 = 613,874,008.80/x
  3. Step 3: Cross multiply
    613,874,008.80x = 920,811,013.20 × 613,874,008.80
  4. Step 4: Simplify right side
    613,874,008.80x = 565,261,948,020,273,728
  5. Step 5: Solve for x
    x = 565,261,948,020,273,728/613,874,008.80
  6. Step 6: Final answer
    x = 920,811,013.20

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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.