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Finding the Fourth Proportional to 321,794,223.60, 482,943,277.80 and 149,292,411.60

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Solution

The fourth proportional to 321,794,223.60, 482,943,277.80 and 149,292,411.60 is: 224,055,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,794,223.60 : 482,943,277.80 = 149,292,411.60 : x
  2. Step 2: Convert to fraction form
    321,794,223.60/482,943,277.80 = 149,292,411.60/x
  3. Step 3: Cross multiply
    321,794,223.60x = 482,943,277.80 × 149,292,411.60
  4. Step 4: Simplify right side
    321,794,223.60x = 72,099,766,608,770,736
  5. Step 5: Solve for x
    x = 72,099,766,608,770,736/321,794,223.60
  6. Step 6: Final answer
    x = 224,055,502.93

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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.