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Finding the Fourth Proportional to 398,168,691.60, 597,123,873.72 and 152,512,254.48

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Solution

The fourth proportional to 398,168,691.60, 597,123,873.72 and 152,512,254.48 is: 228,718,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,168,691.60 : 597,123,873.72 = 152,512,254.48 : x
  2. Step 2: Convert to fraction form
    398,168,691.60/597,123,873.72 = 152,512,254.48/x
  3. Step 3: Cross multiply
    398,168,691.60x = 597,123,873.72 × 152,512,254.48
  4. Step 4: Simplify right side
    398,168,691.60x = 91,068,708,184,868,016
  5. Step 5: Solve for x
    x = 91,068,708,184,868,016/398,168,691.60
  6. Step 6: Final answer
    x = 228,718,907.60

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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.