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Finding the Fourth Proportional to 1,843,514,793.18, 2,765,272,189.77 and 1,843,514,793.18

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Solution

The fourth proportional to 1,843,514,793.18, 2,765,272,189.77 and 1,843,514,793.18 is: 2,765,272,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,514,793.18 : 2,765,272,189.77 = 1,843,514,793.18 : x
  2. Step 2: Convert to fraction form
    1,843,514,793.18/2,765,272,189.77 = 1,843,514,793.18/x
  3. Step 3: Cross multiply
    1,843,514,793.18x = 2,765,272,189.77 × 1,843,514,793.18
  4. Step 4: Simplify right side
    1,843,514,793.18x = 5,097,820,188,987,202,560
  5. Step 5: Solve for x
    x = 5,097,820,188,987,202,560/1,843,514,793.18
  6. Step 6: Final answer
    x = 2,765,272,189.77

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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.