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Finding the Fourth Proportional to 733,805,247, 1,100,707,857.54 and 267,501,634.68

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Solution

The fourth proportional to 733,805,247, 1,100,707,857.54 and 267,501,634.68 is: 401,252,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,805,247 : 1,100,707,857.54 = 267,501,634.68 : x
  2. Step 2: Convert to fraction form
    733,805,247/1,100,707,857.54 = 267,501,634.68/x
  3. Step 3: Cross multiply
    733,805,247x = 1,100,707,857.54 × 267,501,634.68
  4. Step 4: Simplify right side
    733,805,247x = 294,441,151,197,070,592
  5. Step 5: Solve for x
    x = 294,441,151,197,070,592/733,805,247
  6. Step 6: Final answer
    x = 401,252,447.30

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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.