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Finding the Fourth Proportional to 267,153,125.60, 401,028,286.80 and 206,836,248.80

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Solution

The fourth proportional to 267,153,125.60, 401,028,286.80 and 206,836,248.80 is: 310,485,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,153,125.60 : 401,028,286.80 = 206,836,248.80 : x
  2. Step 2: Convert to fraction form
    267,153,125.60/401,028,286.80 = 206,836,248.80/x
  3. Step 3: Cross multiply
    267,153,125.60x = 401,028,286.80 × 206,836,248.80
  4. Step 4: Simplify right side
    267,153,125.60x = 82,947,186,504,402,560
  5. Step 5: Solve for x
    x = 82,947,186,504,402,560/267,153,125.60
  6. Step 6: Final answer
    x = 310,485,555.12

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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.