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Finding the Fourth Proportional to 260,760,384,042.78, 391,140,576,064.17 and 260,760,384,042.78

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Solution

The fourth proportional to 260,760,384,042.78, 391,140,576,064.17 and 260,760,384,042.78 is: 391,140,576,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,042.78 : 391,140,576,064.17 = 260,760,384,042.78 : x
  2. Step 2: Convert to fraction form
    260,760,384,042.78/391,140,576,064.17 = 260,760,384,042.78/x
  3. Step 3: Cross multiply
    260,760,384,042.78x = 391,140,576,064.17 × 260,760,384,042.78
  4. Step 4: Simplify right side
    260,760,384,042.78x = 101,993,966,829,207,172,415,488
  5. Step 5: Solve for x
    x = 101,993,966,829,207,172,415,488/260,760,384,042.78
  6. Step 6: Final answer
    x = 391,140,576,064.17

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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.