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Finding the Fourth Proportional to 327,888,920.30, 491,833,380.45 and 85,551,824.30

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Solution

The fourth proportional to 327,888,920.30, 491,833,380.45 and 85,551,824.30 is: 128,327,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,888,920.30 : 491,833,380.45 = 85,551,824.30 : x
  2. Step 2: Convert to fraction form
    327,888,920.30/491,833,380.45 = 85,551,824.30/x
  3. Step 3: Cross multiply
    327,888,920.30x = 491,833,380.45 × 85,551,824.30
  4. Step 4: Simplify right side
    327,888,920.30x = 42,077,242,949,133,456
  5. Step 5: Solve for x
    x = 42,077,242,949,133,456/327,888,920.30
  6. Step 6: Final answer
    x = 128,327,736.45

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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.