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Finding the Fourth Proportional to 2,068,632,023.65, 3,102,948,035.48 and 2,068,632,023.65

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Solution

The fourth proportional to 2,068,632,023.65, 3,102,948,035.48 and 2,068,632,023.65 is: 3,102,948,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,632,023.65 : 3,102,948,035.48 = 2,068,632,023.65 : x
  2. Step 2: Convert to fraction form
    2,068,632,023.65/3,102,948,035.48 = 2,068,632,023.65/x
  3. Step 3: Cross multiply
    2,068,632,023.65x = 3,102,948,035.48 × 2,068,632,023.65
  4. Step 4: Simplify right side
    2,068,632,023.65x = 6,418,857,673,915,785,216
  5. Step 5: Solve for x
    x = 6,418,857,673,915,785,216/2,068,632,023.65
  6. Step 6: Final answer
    x = 3,102,948,035.48

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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.