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Finding the Fourth Proportional to 320,917,793.12, 480,304,087.12 and 182,706,296.80

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Solution

The fourth proportional to 320,917,793.12, 480,304,087.12 and 182,706,296.80 is: 273,448,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,917,793.12 : 480,304,087.12 = 182,706,296.80 : x
  2. Step 2: Convert to fraction form
    320,917,793.12/480,304,087.12 = 182,706,296.80/x
  3. Step 3: Cross multiply
    320,917,793.12x = 480,304,087.12 × 182,706,296.80
  4. Step 4: Simplify right side
    320,917,793.12x = 87,754,581,095,599,776
  5. Step 5: Solve for x
    x = 87,754,581,095,599,776/320,917,793.12
  6. Step 6: Final answer
    x = 273,448,786.50

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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.