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Finding the Fourth Proportional to 18,099,332,066,159, 27,148,998,099,238 and 18,099,332,066,159

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Solution

The fourth proportional to 18,099,332,066,159, 27,148,998,099,238 and 18,099,332,066,159 is: 27,148,998,099,238

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099,332,066,159 : 27,148,998,099,238 = 18,099,332,066,159 : x
  2. Step 2: Convert to fraction form
    18,099,332,066,159/27,148,998,099,238 = 18,099,332,066,159/x
  3. Step 3: Cross multiply
    18,099,332,066,159x = 27,148,998,099,238 × 18,099,332,066,159
  4. Step 4: Simplify right side
    18,099,332,066,159x = 491,378,731,861,628,105,992,962,048
  5. Step 5: Solve for x
    x = 491,378,731,861,628,105,992,962,048/18,099,332,066,159
  6. Step 6: Final answer
    x = 27,148,998,099,238

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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.