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Finding the Fourth Proportional to 15,694,426,944,006, 23,541,640,416,010 and 15,694,426,944,006

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Solution

The fourth proportional to 15,694,426,944,006, 23,541,640,416,010 and 15,694,426,944,006 is: 23,541,640,416,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694,426,944,006 : 23,541,640,416,010 = 15,694,426,944,006 : x
  2. Step 2: Convert to fraction form
    15,694,426,944,006/23,541,640,416,010 = 15,694,426,944,006/x
  3. Step 3: Cross multiply
    15,694,426,944,006x = 23,541,640,416,010 × 15,694,426,944,006
  4. Step 4: Simplify right side
    15,694,426,944,006x = 369,472,555,651,127,953,743,413,248
  5. Step 5: Solve for x
    x = 369,472,555,651,127,953,743,413,248/15,694,426,944,006
  6. Step 6: Final answer
    x = 23,541,640,416,010

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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.