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Finding the Fourth Proportional to 465,844,986.88, 698,857,059.84 and 178,608,256

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Solution

The fourth proportional to 465,844,986.88, 698,857,059.84 and 178,608,256 is: 267,946,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,844,986.88 : 698,857,059.84 = 178,608,256 : x
  2. Step 2: Convert to fraction form
    465,844,986.88/698,857,059.84 = 178,608,256/x
  3. Step 3: Cross multiply
    465,844,986.88x = 698,857,059.84 × 178,608,256
  4. Step 4: Simplify right side
    465,844,986.88x = 124,821,640,651,310,048
  5. Step 5: Solve for x
    x = 124,821,640,651,310,048/465,844,986.88
  6. Step 6: Final answer
    x = 267,946,729.42

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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.