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Finding the Fourth Proportional to 320,671,478.80, 481,007,218.20 and 274,754,976.40

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Solution

The fourth proportional to 320,671,478.80, 481,007,218.20 and 274,754,976.40 is: 412,132,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,671,478.80 : 481,007,218.20 = 274,754,976.40 : x
  2. Step 2: Convert to fraction form
    320,671,478.80/481,007,218.20 = 274,754,976.40/x
  3. Step 3: Cross multiply
    320,671,478.80x = 481,007,218.20 × 274,754,976.40
  4. Step 4: Simplify right side
    320,671,478.80x = 132,159,126,884,770,640
  5. Step 5: Solve for x
    x = 132,159,126,884,770,640/320,671,478.80
  6. Step 6: Final answer
    x = 412,132,464.60

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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.