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Finding the Fourth Proportional to 508,592,340, 763,002,234 and 185,476,212

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Solution

The fourth proportional to 508,592,340, 763,002,234 and 185,476,212 is: 278,255,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,592,340 : 763,002,234 = 185,476,212 : x
  2. Step 2: Convert to fraction form
    508,592,340/763,002,234 = 185,476,212/x
  3. Step 3: Cross multiply
    508,592,340x = 763,002,234 × 185,476,212
  4. Step 4: Simplify right side
    508,592,340x = 141,518,764,109,857,600
  5. Step 5: Solve for x
    x = 141,518,764,109,857,600/508,592,340
  6. Step 6: Final answer
    x = 278,255,791.48

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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.