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Finding the Fourth Proportional to 27,575,891,037.90, 41,363,836,556.85 and 27,575,891,037.90

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Solution

The fourth proportional to 27,575,891,037.90, 41,363,836,556.85 and 27,575,891,037.90 is: 41,363,836,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575,891,037.90 : 41,363,836,556.85 = 27,575,891,037.90 : x
  2. Step 2: Convert to fraction form
    27,575,891,037.90/41,363,836,556.85 = 27,575,891,037.90/x
  3. Step 3: Cross multiply
    27,575,891,037.90x = 41,363,836,556.85 × 27,575,891,037.90
  4. Step 4: Simplify right side
    27,575,891,037.90x = 1,140,644,649,801,200,304,128
  5. Step 5: Solve for x
    x = 1,140,644,649,801,200,304,128/27,575,891,037.90
  6. Step 6: Final answer
    x = 41,363,836,556.85

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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.