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Finding the Fourth Proportional to 719,391,296.52, 992,768,115.96 and 422,038,608.48

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Solution

The fourth proportional to 719,391,296.52, 992,768,115.96 and 422,038,608.48 is: 582,418,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,391,296.52 : 992,768,115.96 = 422,038,608.48 : x
  2. Step 2: Convert to fraction form
    719,391,296.52/992,768,115.96 = 422,038,608.48/x
  3. Step 3: Cross multiply
    719,391,296.52x = 992,768,115.96 × 422,038,608.48
  4. Step 4: Simplify right side
    719,391,296.52x = 418,986,474,203,069,696
  5. Step 5: Solve for x
    x = 418,986,474,203,069,696/719,391,296.52
  6. Step 6: Final answer
    x = 582,418,047.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.