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Finding the Fourth Proportional to 206,855,532,114.20, 310,283,298,171.30 and 206,855,532,114.20

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Solution

The fourth proportional to 206,855,532,114.20, 310,283,298,171.30 and 206,855,532,114.20 is: 310,283,298,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855,532,114.20 : 310,283,298,171.30 = 206,855,532,114.20 : x
  2. Step 2: Convert to fraction form
    206,855,532,114.20/310,283,298,171.30 = 206,855,532,114.20/x
  3. Step 3: Cross multiply
    206,855,532,114.20x = 310,283,298,171.30 × 206,855,532,114.20
  4. Step 4: Simplify right side
    206,855,532,114.20x = 64,183,816,749,373,240,377,344
  5. Step 5: Solve for x
    x = 64,183,816,749,373,240,377,344/206,855,532,114.20
  6. Step 6: Final answer
    x = 310,283,298,171.30

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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.