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Finding the Fourth Proportional to 267,987,941.40, 402,359,825.70 and 165,951,269.40

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Solution

The fourth proportional to 267,987,941.40, 402,359,825.70 and 165,951,269.40 is: 249,160,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,987,941.40 : 402,359,825.70 = 165,951,269.40 : x
  2. Step 2: Convert to fraction form
    267,987,941.40/402,359,825.70 = 165,951,269.40/x
  3. Step 3: Cross multiply
    267,987,941.40x = 402,359,825.70 × 165,951,269.40
  4. Step 4: Simplify right side
    267,987,941.40x = 66,772,123,830,477,744
  5. Step 5: Solve for x
    x = 66,772,123,830,477,744/267,987,941.40
  6. Step 6: Final answer
    x = 249,160,926.73

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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.