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Finding the Fourth Proportional to 574,428,915,034.20, 861,643,372,551.30 and 574,428,915,034.20

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Solution

The fourth proportional to 574,428,915,034.20, 861,643,372,551.30 and 574,428,915,034.20 is: 861,643,372,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,428,915,034.20 : 861,643,372,551.30 = 574,428,915,034.20 : x
  2. Step 2: Convert to fraction form
    574,428,915,034.20/861,643,372,551.30 = 574,428,915,034.20/x
  3. Step 3: Cross multiply
    574,428,915,034.20x = 861,643,372,551.30 × 574,428,915,034.20
  4. Step 4: Simplify right side
    574,428,915,034.20x = 494,952,867,641,052,241,068,032
  5. Step 5: Solve for x
    x = 494,952,867,641,052,241,068,032/574,428,915,034.20
  6. Step 6: Final answer
    x = 861,643,372,551.30

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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.