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Finding the Fourth Proportional to 297,700,218.80, 410,826,642.54 and 165,538,377.76

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Solution

The fourth proportional to 297,700,218.80, 410,826,642.54 and 165,538,377.76 is: 228,443,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,700,218.80 : 410,826,642.54 = 165,538,377.76 : x
  2. Step 2: Convert to fraction form
    297,700,218.80/410,826,642.54 = 165,538,377.76/x
  3. Step 3: Cross multiply
    297,700,218.80x = 410,826,642.54 × 165,538,377.76
  4. Step 4: Simplify right side
    297,700,218.80x = 68,007,575,945,631,936
  5. Step 5: Solve for x
    x = 68,007,575,945,631,936/297,700,218.80
  6. Step 6: Final answer
    x = 228,443,150.69

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