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Finding the Fourth Proportional to 582,620,464.80, 873,930,697.20 and 310,522,672.80

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Solution

The fourth proportional to 582,620,464.80, 873,930,697.20 and 310,522,672.80 is: 465,784,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,620,464.80 : 873,930,697.20 = 310,522,672.80 : x
  2. Step 2: Convert to fraction form
    582,620,464.80/873,930,697.20 = 310,522,672.80/x
  3. Step 3: Cross multiply
    582,620,464.80x = 873,930,697.20 × 310,522,672.80
  4. Step 4: Simplify right side
    582,620,464.80x = 271,375,295,936,511,488
  5. Step 5: Solve for x
    x = 271,375,295,936,511,488/582,620,464.80
  6. Step 6: Final answer
    x = 465,784,009.20

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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.