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Finding the Fourth Proportional to 323,311,477.80, 484,967,216.70 and 159,627,649.80

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Solution

The fourth proportional to 323,311,477.80, 484,967,216.70 and 159,627,649.80 is: 239,441,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,311,477.80 : 484,967,216.70 = 159,627,649.80 : x
  2. Step 2: Convert to fraction form
    323,311,477.80/484,967,216.70 = 159,627,649.80/x
  3. Step 3: Cross multiply
    323,311,477.80x = 484,967,216.70 × 159,627,649.80
  4. Step 4: Simplify right side
    323,311,477.80x = 77,414,177,031,868,320
  5. Step 5: Solve for x
    x = 77,414,177,031,868,320/323,311,477.80
  6. Step 6: Final answer
    x = 239,441,474.70

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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.