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Finding the Fourth Proportional to 140,858,944,453.45, 211,288,416,680.17 and 140,858,944,453.45

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Solution

The fourth proportional to 140,858,944,453.45, 211,288,416,680.17 and 140,858,944,453.45 is: 211,288,416,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,858,944,453.45 : 211,288,416,680.17 = 140,858,944,453.45 : x
  2. Step 2: Convert to fraction form
    140,858,944,453.45/211,288,416,680.17 = 140,858,944,453.45/x
  3. Step 3: Cross multiply
    140,858,944,453.45x = 211,288,416,680.17 × 140,858,944,453.45
  4. Step 4: Simplify right side
    140,858,944,453.45x = 29,761,863,348,809,468,215,296
  5. Step 5: Solve for x
    x = 29,761,863,348,809,468,215,296/140,858,944,453.45
  6. Step 6: Final answer
    x = 211,288,416,680.17

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1.5x scale

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.