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Finding the Fourth Proportional to 240,604,992,023.20, 360,907,488,034.80 and 240,604,992,023.20

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Solution

The fourth proportional to 240,604,992,023.20, 360,907,488,034.80 and 240,604,992,023.20 is: 360,907,488,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,604,992,023.20 : 360,907,488,034.80 = 240,604,992,023.20 : x
  2. Step 2: Convert to fraction form
    240,604,992,023.20/360,907,488,034.80 = 240,604,992,023.20/x
  3. Step 3: Cross multiply
    240,604,992,023.20x = 360,907,488,034.80 × 240,604,992,023.20
  4. Step 4: Simplify right side
    240,604,992,023.20x = 86,836,143,279,726,200,356,864
  5. Step 5: Solve for x
    x = 86,836,143,279,726,200,356,864/240,604,992,023.20
  6. Step 6: Final answer
    x = 360,907,488,034.80

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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.