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Finding the Fourth Proportional to 113,891,328,363.20, 170,836,992,544.80 and 113,891,328,363.20

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Solution

The fourth proportional to 113,891,328,363.20, 170,836,992,544.80 and 113,891,328,363.20 is: 170,836,992,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,891,328,363.20 : 170,836,992,544.80 = 113,891,328,363.20 : x
  2. Step 2: Convert to fraction form
    113,891,328,363.20/170,836,992,544.80 = 113,891,328,363.20/x
  3. Step 3: Cross multiply
    113,891,328,363.20x = 170,836,992,544.80 × 113,891,328,363.20
  4. Step 4: Simplify right side
    113,891,328,363.20x = 19,456,852,014,501,363,449,856
  5. Step 5: Solve for x
    x = 19,456,852,014,501,363,449,856/113,891,328,363.20
  6. Step 6: Final answer
    x = 170,836,992,544.80

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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.