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Finding the Fourth Proportional to 367,375,731.56, 506,978,536.97 and 202,363,301.06

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Solution

The fourth proportional to 367,375,731.56, 506,978,536.97 and 202,363,301.06 is: 279,261,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,375,731.56 : 506,978,536.97 = 202,363,301.06 : x
  2. Step 2: Convert to fraction form
    367,375,731.56/506,978,536.97 = 202,363,301.06/x
  3. Step 3: Cross multiply
    367,375,731.56x = 506,978,536.97 × 202,363,301.06
  4. Step 4: Simplify right side
    367,375,731.56x = 102,593,850,304,271,744
  5. Step 5: Solve for x
    x = 102,593,850,304,271,744/367,375,731.56
  6. Step 6: Final answer
    x = 279,261,370.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.