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Finding the Fourth Proportional to 265,736,562.30, 398,604,843.45 and 196,861,808.70

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Solution

The fourth proportional to 265,736,562.30, 398,604,843.45 and 196,861,808.70 is: 295,292,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736,562.30 : 398,604,843.45 = 196,861,808.70 : x
  2. Step 2: Convert to fraction form
    265,736,562.30/398,604,843.45 = 196,861,808.70/x
  3. Step 3: Cross multiply
    265,736,562.30x = 398,604,843.45 × 196,861,808.70
  4. Step 4: Simplify right side
    265,736,562.30x = 78,470,070,438,147,344
  5. Step 5: Solve for x
    x = 78,470,070,438,147,344/265,736,562.30
  6. Step 6: Final answer
    x = 295,292,713.05

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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.