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Finding the Fourth Proportional to 365,571,458.68, 504,488,575.50 and 206,798,189.56

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Solution

The fourth proportional to 365,571,458.68, 504,488,575.50 and 206,798,189.56 is: 285,381,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,571,458.68 : 504,488,575.50 = 206,798,189.56 : x
  2. Step 2: Convert to fraction form
    365,571,458.68/504,488,575.50 = 206,798,189.56/x
  3. Step 3: Cross multiply
    365,571,458.68x = 504,488,575.50 × 206,798,189.56
  4. Step 4: Simplify right side
    365,571,458.68x = 104,327,324,067,103,376
  5. Step 5: Solve for x
    x = 104,327,324,067,103,376/365,571,458.68
  6. Step 6: Final answer
    x = 285,381,480.39

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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.