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Finding the Fourth Proportional to 1,180,251,012.15, 1,654,770,064.05 and 1,180,251,012.15

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Solution

The fourth proportional to 1,180,251,012.15, 1,654,770,064.05 and 1,180,251,012.15 is: 1,654,770,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,251,012.15 : 1,654,770,064.05 = 1,180,251,012.15 : x
  2. Step 2: Convert to fraction form
    1,180,251,012.15/1,654,770,064.05 = 1,180,251,012.15/x
  3. Step 3: Cross multiply
    1,180,251,012.15x = 1,654,770,064.05 × 1,180,251,012.15
  4. Step 4: Simplify right side
    1,180,251,012.15x = 1,953,044,042,970,532,864
  5. Step 5: Solve for x
    x = 1,953,044,042,970,532,864/1,180,251,012.15
  6. Step 6: Final answer
    x = 1,654,770,064.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.