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Finding the Fourth Proportional to 320,671,468.80, 481,007,203.20 and 274,754,966.40

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Solution

The fourth proportional to 320,671,468.80, 481,007,203.20 and 274,754,966.40 is: 412,132,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,671,468.80 : 481,007,203.20 = 274,754,966.40 : x
  2. Step 2: Convert to fraction form
    320,671,468.80/481,007,203.20 = 274,754,966.40/x
  3. Step 3: Cross multiply
    320,671,468.80x = 481,007,203.20 × 274,754,966.40
  4. Step 4: Simplify right side
    320,671,468.80x = 132,159,117,953,373,952
  5. Step 5: Solve for x
    x = 132,159,117,953,373,952/320,671,468.80
  6. Step 6: Final answer
    x = 412,132,449.60

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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.