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Finding the Fourth Proportional to 17,653,478,971,311, 26,480,218,456,966 and 17,653,478,971,311

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Solution

The fourth proportional to 17,653,478,971,311, 26,480,218,456,966 and 17,653,478,971,311 is: 26,480,218,456,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,478,971,311 : 26,480,218,456,966 = 17,653,478,971,311 : x
  2. Step 2: Convert to fraction form
    17,653,478,971,311/26,480,218,456,966 = 17,653,478,971,311/x
  3. Step 3: Cross multiply
    17,653,478,971,311x = 26,480,218,456,966 × 17,653,478,971,311
  4. Step 4: Simplify right side
    17,653,478,971,311x = 467,467,979,685,770,715,314,782,208
  5. Step 5: Solve for x
    x = 467,467,979,685,770,715,314,782,208/17,653,478,971,311
  6. Step 6: Final answer
    x = 26,480,218,456,966

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.