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Finding the Fourth Proportional to 17,981,505,111.20, 26,972,257,666.80 and 17,981,505,111.20

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Solution

The fourth proportional to 17,981,505,111.20, 26,972,257,666.80 and 17,981,505,111.20 is: 26,972,257,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981,505,111.20 : 26,972,257,666.80 = 17,981,505,111.20 : x
  2. Step 2: Convert to fraction form
    17,981,505,111.20/26,972,257,666.80 = 17,981,505,111.20/x
  3. Step 3: Cross multiply
    17,981,505,111.20x = 26,972,257,666.80 × 17,981,505,111.20
  4. Step 4: Simplify right side
    17,981,505,111.20x = 485,001,789,096,167,604,224
  5. Step 5: Solve for x
    x = 485,001,789,096,167,604,224/17,981,505,111.20
  6. Step 6: Final answer
    x = 26,972,257,666.80

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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.