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Finding the Fourth Proportional to 265,731,301.80, 398,596,952.70 and 196,856,548.20

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Solution

The fourth proportional to 265,731,301.80, 398,596,952.70 and 196,856,548.20 is: 295,284,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,731,301.80 : 398,596,952.70 = 196,856,548.20 : x
  2. Step 2: Convert to fraction form
    265,731,301.80/398,596,952.70 = 196,856,548.20/x
  3. Step 3: Cross multiply
    265,731,301.80x = 398,596,952.70 × 196,856,548.20
  4. Step 4: Simplify right side
    265,731,301.80x = 78,466,420,231,560,656
  5. Step 5: Solve for x
    x = 78,466,420,231,560,656/265,731,301.80
  6. Step 6: Final answer
    x = 295,284,822.30

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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.