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Finding the Fourth Proportional to 206,595,487.80, 309,893,231.70 and 206,595,487.80

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Solution

The fourth proportional to 206,595,487.80, 309,893,231.70 and 206,595,487.80 is: 309,893,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,595,487.80 : 309,893,231.70 = 206,595,487.80 : x
  2. Step 2: Convert to fraction form
    206,595,487.80/309,893,231.70 = 206,595,487.80/x
  3. Step 3: Cross multiply
    206,595,487.80x = 309,893,231.70 × 206,595,487.80
  4. Step 4: Simplify right side
    206,595,487.80x = 64,022,543,368,979,928
  5. Step 5: Solve for x
    x = 64,022,543,368,979,928/206,595,487.80
  6. Step 6: Final answer
    x = 309,893,231.70

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Why These Related Problems?

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