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Finding the Fourth Proportional to 321,797,165.60, 482,947,690.80 and 149,295,353.60

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Solution

The fourth proportional to 321,797,165.60, 482,947,690.80 and 149,295,353.60 is: 224,059,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,797,165.60 : 482,947,690.80 = 149,295,353.60 : x
  2. Step 2: Convert to fraction form
    321,797,165.60/482,947,690.80 = 149,295,353.60/x
  3. Step 3: Cross multiply
    321,797,165.60x = 482,947,690.80 × 149,295,353.60
  4. Step 4: Simplify right side
    321,797,165.60x = 72,101,846,268,289,472
  5. Step 5: Solve for x
    x = 72,101,846,268,289,472/321,797,165.60
  6. Step 6: Final answer
    x = 224,059,917.17

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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.