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Finding the Fourth Proportional to 17,821,796,645.70, 26,732,694,968.55 and 17,821,796,645.70

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Solution

The fourth proportional to 17,821,796,645.70, 26,732,694,968.55 and 17,821,796,645.70 is: 26,732,694,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821,796,645.70 : 26,732,694,968.55 = 17,821,796,645.70 : x
  2. Step 2: Convert to fraction form
    17,821,796,645.70/26,732,694,968.55 = 17,821,796,645.70/x
  3. Step 3: Cross multiply
    17,821,796,645.70x = 26,732,694,968.55 × 17,821,796,645.70
  4. Step 4: Simplify right side
    17,821,796,645.70x = 476,424,653,521,025,695,744
  5. Step 5: Solve for x
    x = 476,424,653,521,025,695,744/17,821,796,645.70
  6. Step 6: Final answer
    x = 26,732,694,968.55

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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.