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Finding the Fourth Proportional to 647,030,471.20, 970,545,706.80 and 582,533,216.80

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Solution

The fourth proportional to 647,030,471.20, 970,545,706.80 and 582,533,216.80 is: 873,799,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,030,471.20 : 970,545,706.80 = 582,533,216.80 : x
  2. Step 2: Convert to fraction form
    647,030,471.20/970,545,706.80 = 582,533,216.80/x
  3. Step 3: Cross multiply
    647,030,471.20x = 970,545,706.80 × 582,533,216.80
  4. Step 4: Simplify right side
    647,030,471.20x = 565,375,112,633,633,536
  5. Step 5: Solve for x
    x = 565,375,112,633,633,536/647,030,471.20
  6. Step 6: Final answer
    x = 873,799,825.20

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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.