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Finding the Fourth Proportional to 719,523,402.96, 992,949,141.63 and 422,170,704.24

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Solution

The fourth proportional to 719,523,402.96, 992,949,141.63 and 422,170,704.24 is: 582,599,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,523,402.96 : 992,949,141.63 = 422,170,704.24 : x
  2. Step 2: Convert to fraction form
    719,523,402.96/992,949,141.63 = 422,170,704.24/x
  3. Step 3: Cross multiply
    719,523,402.96x = 992,949,141.63 × 422,170,704.24
  4. Step 4: Simplify right side
    719,523,402.96x = 419,194,038,396,440,640
  5. Step 5: Solve for x
    x = 419,194,038,396,440,640/719,523,402.96
  6. Step 6: Final answer
    x = 582,599,588.38

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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.