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Finding the Fourth Proportional to 582,509,400.80, 873,764,101.20 and 353,932,325.60

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Solution

The fourth proportional to 582,509,400.80, 873,764,101.20 and 353,932,325.60 is: 530,898,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,509,400.80 : 873,764,101.20 = 353,932,325.60 : x
  2. Step 2: Convert to fraction form
    582,509,400.80/873,764,101.20 = 353,932,325.60/x
  3. Step 3: Cross multiply
    582,509,400.80x = 873,764,101.20 × 353,932,325.60
  4. Step 4: Simplify right side
    582,509,400.80x = 309,253,360,363,509,760
  5. Step 5: Solve for x
    x = 309,253,360,363,509,760/582,509,400.80
  6. Step 6: Final answer
    x = 530,898,488.40

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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.