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Finding the Fourth Proportional to 613,282,914,023.20, 919,924,371,034.80 and 613,282,914,023.20

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Solution

The fourth proportional to 613,282,914,023.20, 919,924,371,034.80 and 613,282,914,023.20 is: 919,924,371,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282,914,023.20 : 919,924,371,034.80 = 613,282,914,023.20 : x
  2. Step 2: Convert to fraction form
    613,282,914,023.20/919,924,371,034.80 = 613,282,914,023.20/x
  3. Step 3: Cross multiply
    613,282,914,023.20x = 919,924,371,034.80 × 613,282,914,023.20
  4. Step 4: Simplify right side
    613,282,914,023.20x = 564,173,898,949,181,541,711,872
  5. Step 5: Solve for x
    x = 564,173,898,949,181,541,711,872/613,282,914,023.20
  6. Step 6: Final answer
    x = 919,924,371,034.80

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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.