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Finding the Fourth Proportional to 327,594,810.60, 490,754,486.70 and 181,767,400.20

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Solution

The fourth proportional to 327,594,810.60, 490,754,486.70 and 181,767,400.20 is: 272,297,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,594,810.60 : 490,754,486.70 = 181,767,400.20 : x
  2. Step 2: Convert to fraction form
    327,594,810.60/490,754,486.70 = 181,767,400.20/x
  3. Step 3: Cross multiply
    327,594,810.60x = 490,754,486.70 × 181,767,400.20
  4. Step 4: Simplify right side
    327,594,810.60x = 89,203,167,183,944,464
  5. Step 5: Solve for x
    x = 89,203,167,183,944,464/327,594,810.60
  6. Step 6: Final answer
    x = 272,297,253.49

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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.