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Finding the Fourth Proportional to 17,981,505,005.70, 26,972,257,508.55 and 17,981,505,005.70

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Solution

The fourth proportional to 17,981,505,005.70, 26,972,257,508.55 and 17,981,505,005.70 is: 26,972,257,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981,505,005.70 : 26,972,257,508.55 = 17,981,505,005.70 : x
  2. Step 2: Convert to fraction form
    17,981,505,005.70/26,972,257,508.55 = 17,981,505,005.70/x
  3. Step 3: Cross multiply
    17,981,505,005.70x = 26,972,257,508.55 × 17,981,505,005.70
  4. Step 4: Simplify right side
    17,981,505,005.70x = 485,001,783,405,021,233,152
  5. Step 5: Solve for x
    x = 485,001,783,405,021,233,152/17,981,505,005.70
  6. Step 6: Final answer
    x = 26,972,257,508.55

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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.