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Finding the Fourth Proportional to 264,200,531.20, 396,300,796.80 and 160,888,400.80

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Solution

The fourth proportional to 264,200,531.20, 396,300,796.80 and 160,888,400.80 is: 241,332,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,200,531.20 : 396,300,796.80 = 160,888,400.80 : x
  2. Step 2: Convert to fraction form
    264,200,531.20/396,300,796.80 = 160,888,400.80/x
  3. Step 3: Cross multiply
    264,200,531.20x = 396,300,796.80 × 160,888,400.80
  4. Step 4: Simplify right side
    264,200,531.20x = 63,760,201,432,917,768
  5. Step 5: Solve for x
    x = 63,760,201,432,917,768/264,200,531.20
  6. Step 6: Final answer
    x = 241,332,601.20

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1.5x scale

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.