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Finding the Fourth Proportional to 477,892,481.52, 716,914,304.96 and 171,177,803.76

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Solution

The fourth proportional to 477,892,481.52, 716,914,304.96 and 171,177,803.76 is: 256,793,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,892,481.52 : 716,914,304.96 = 171,177,803.76 : x
  2. Step 2: Convert to fraction form
    477,892,481.52/716,914,304.96 = 171,177,803.76/x
  3. Step 3: Cross multiply
    477,892,481.52x = 716,914,304.96 × 171,177,803.76
  4. Step 4: Simplify right side
    477,892,481.52x = 122,719,816,207,179,680
  5. Step 5: Solve for x
    x = 122,719,816,207,179,680/477,892,481.52
  6. Step 6: Final answer
    x = 256,793,778.84

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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.