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Finding the Fourth Proportional to 198,060,451,248.60, 297,090,676,872.90 and 198,060,451,248.60

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Solution

The fourth proportional to 198,060,451,248.60, 297,090,676,872.90 and 198,060,451,248.60 is: 297,090,676,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,060,451,248.60 : 297,090,676,872.90 = 198,060,451,248.60 : x
  2. Step 2: Convert to fraction form
    198,060,451,248.60/297,090,676,872.90 = 198,060,451,248.60/x
  3. Step 3: Cross multiply
    198,060,451,248.60x = 297,090,676,872.90 × 198,060,451,248.60
  4. Step 4: Simplify right side
    198,060,451,248.60x = 58,841,913,523,198,593,335,296
  5. Step 5: Solve for x
    x = 58,841,913,523,198,593,335,296/198,060,451,248.60
  6. Step 6: Final answer
    x = 297,090,676,872.90

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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.