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Finding the Fourth Proportional to 206,460,438,333.85, 309,690,657,500.76 and 206,460,438,333.85

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Solution

The fourth proportional to 206,460,438,333.85, 309,690,657,500.76 and 206,460,438,333.85 is: 309,690,657,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460,438,333.85 : 309,690,657,500.76 = 206,460,438,333.85 : x
  2. Step 2: Convert to fraction form
    206,460,438,333.85/309,690,657,500.76 = 206,460,438,333.85/x
  3. Step 3: Cross multiply
    206,460,438,333.85x = 309,690,657,500.76 × 206,460,438,333.85
  4. Step 4: Simplify right side
    206,460,438,333.85x = 63,938,868,895,505,121,804,288
  5. Step 5: Solve for x
    x = 63,938,868,895,505,121,804,288/206,460,438,333.85
  6. Step 6: Final answer
    x = 309,690,657,500.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.