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Finding the Fourth Proportional to 327,469,846.80, 490,874,095.80 and 163,455,344.40

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Solution

The fourth proportional to 327,469,846.80, 490,874,095.80 and 163,455,344.40 is: 245,017,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,469,846.80 : 490,874,095.80 = 163,455,344.40 : x
  2. Step 2: Convert to fraction form
    327,469,846.80/490,874,095.80 = 163,455,344.40/x
  3. Step 3: Cross multiply
    327,469,846.80x = 490,874,095.80 × 163,455,344.40
  4. Step 4: Simplify right side
    327,469,846.80x = 80,235,994,386,027,600
  5. Step 5: Solve for x
    x = 80,235,994,386,027,600/327,469,846.80
  6. Step 6: Final answer
    x = 245,017,961.71

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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.