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Finding the Fourth Proportional to 298,096,218, 447,144,327 and 82,685,466

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Solution

The fourth proportional to 298,096,218, 447,144,327 and 82,685,466 is: 124,028,199

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,096,218 : 447,144,327 = 82,685,466 : x
  2. Step 2: Convert to fraction form
    298,096,218/447,144,327 = 82,685,466/x
  3. Step 3: Cross multiply
    298,096,218x = 447,144,327 × 82,685,466
  4. Step 4: Simplify right side
    298,096,218x = 36,972,337,047,251,384
  5. Step 5: Solve for x
    x = 36,972,337,047,251,384/298,096,218
  6. Step 6: Final answer
    x = 124,028,199

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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.