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Finding the Fourth Proportional to 582,690,704.40, 874,036,056.60 and 399,024,694.80

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Solution

The fourth proportional to 582,690,704.40, 874,036,056.60 and 399,024,694.80 is: 598,537,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,690,704.40 : 874,036,056.60 = 399,024,694.80 : x
  2. Step 2: Convert to fraction form
    582,690,704.40/874,036,056.60 = 399,024,694.80/x
  3. Step 3: Cross multiply
    582,690,704.40x = 874,036,056.60 × 399,024,694.80
  4. Step 4: Simplify right side
    582,690,704.40x = 348,761,970,729,010,560
  5. Step 5: Solve for x
    x = 348,761,970,729,010,560/582,690,704.40
  6. Step 6: Final answer
    x = 598,537,042.20

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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.