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Finding the Fourth Proportional to 297,700,218.05, 410,826,641.50 and 165,538,377.01

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Solution

The fourth proportional to 297,700,218.05, 410,826,641.50 and 165,538,377.01 is: 228,443,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,700,218.05 : 410,826,641.50 = 165,538,377.01 : x
  2. Step 2: Convert to fraction form
    297,700,218.05/410,826,641.50 = 165,538,377.01/x
  3. Step 3: Cross multiply
    297,700,218.05x = 410,826,641.50 × 165,538,377.01
  4. Step 4: Simplify right side
    297,700,218.05x = 68,007,575,464,938,200
  5. Step 5: Solve for x
    x = 68,007,575,464,938,200/297,700,218.05
  6. Step 6: Final answer
    x = 228,443,149.66

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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.