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Finding the Fourth Proportional to 18,099,332,067,262, 27,148,998,100,894 and 18,099,332,067,262

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Solution

The fourth proportional to 18,099,332,067,262, 27,148,998,100,894 and 18,099,332,067,262 is: 27,148,998,100,894

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099,332,067,262 : 27,148,998,100,894 = 18,099,332,067,262 : x
  2. Step 2: Convert to fraction form
    18,099,332,067,262/27,148,998,100,894 = 18,099,332,067,262/x
  3. Step 3: Cross multiply
    18,099,332,067,262x = 27,148,998,100,894 × 18,099,332,067,262
  4. Step 4: Simplify right side
    18,099,332,067,262x = 491,378,731,921,545,923,429,138,432
  5. Step 5: Solve for x
    x = 491,378,731,921,545,923,429,138,432/18,099,332,067,262
  6. Step 6: Final answer
    x = 27,148,998,100,894

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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.