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Finding the Fourth Proportional to 2,514,781,567,325, 3,772,172,350,987.50 and 2,514,781,567,325

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Solution

The fourth proportional to 2,514,781,567,325, 3,772,172,350,987.50 and 2,514,781,567,325 is: 3,772,172,350,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,781,567,325 : 3,772,172,350,987.50 = 2,514,781,567,325 : x
  2. Step 2: Convert to fraction form
    2,514,781,567,325/3,772,172,350,987.50 = 2,514,781,567,325/x
  3. Step 3: Cross multiply
    2,514,781,567,325x = 3,772,172,350,987.50 × 2,514,781,567,325
  4. Step 4: Simplify right side
    2,514,781,567,325x = 9,486,189,497,036,375,035,215,872
  5. Step 5: Solve for x
    x = 9,486,189,497,036,375,035,215,872/2,514,781,567,325
  6. Step 6: Final answer
    x = 3,772,172,350,987.50

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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.