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Finding the Fourth Proportional to 580,847,129.60, 813,790,643.20 and 580,847,129.60

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Solution

The fourth proportional to 580,847,129.60, 813,790,643.20 and 580,847,129.60 is: 813,790,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,847,129.60 : 813,790,643.20 = 580,847,129.60 : x
  2. Step 2: Convert to fraction form
    580,847,129.60/813,790,643.20 = 580,847,129.60/x
  3. Step 3: Cross multiply
    580,847,129.60x = 813,790,643.20 × 580,847,129.60
  4. Step 4: Simplify right side
    580,847,129.60x = 472,687,959,198,057,792
  5. Step 5: Solve for x
    x = 472,687,959,198,057,792/580,847,129.60
  6. Step 6: Final answer
    x = 813,790,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.