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Finding the Fourth Proportional to 15,694,426,944,073, 23,541,640,416,112 and 15,694,426,944,073

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Solution

The fourth proportional to 15,694,426,944,073, 23,541,640,416,112 and 15,694,426,944,073 is: 23,541,640,416,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694,426,944,073 : 23,541,640,416,112 = 15,694,426,944,073 : x
  2. Step 2: Convert to fraction form
    15,694,426,944,073/23,541,640,416,112 = 15,694,426,944,073/x
  3. Step 3: Cross multiply
    15,694,426,944,073x = 23,541,640,416,112 × 15,694,426,944,073
  4. Step 4: Simplify right side
    15,694,426,944,073x = 369,472,555,654,306,092,103,499,776
  5. Step 5: Solve for x
    x = 369,472,555,654,306,092,103,499,776/15,694,426,944,073
  6. Step 6: Final answer
    x = 23,541,640,416,112

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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.