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Finding the Fourth Proportional to 15,694,426,944,005, 23,541,640,416,008 and 15,694,426,944,005

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Solution

The fourth proportional to 15,694,426,944,005, 23,541,640,416,008 and 15,694,426,944,005 is: 23,541,640,416,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694,426,944,005 : 23,541,640,416,008 = 15,694,426,944,005 : x
  2. Step 2: Convert to fraction form
    15,694,426,944,005/23,541,640,416,008 = 15,694,426,944,005/x
  3. Step 3: Cross multiply
    15,694,426,944,005x = 23,541,640,416,008 × 15,694,426,944,005
  4. Step 4: Simplify right side
    15,694,426,944,005x = 369,472,555,651,073,046,881,501,184
  5. Step 5: Solve for x
    x = 369,472,555,651,073,046,881,501,184/15,694,426,944,005
  6. Step 6: Final answer
    x = 23,541,640,416,008

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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.