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Finding the Fourth Proportional to 100,203,551,200.80, 150,305,326,801.20 and 100,203,551,200.80

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Solution

The fourth proportional to 100,203,551,200.80, 150,305,326,801.20 and 100,203,551,200.80 is: 150,305,326,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,551,200.80 : 150,305,326,801.20 = 100,203,551,200.80 : x
  2. Step 2: Convert to fraction form
    100,203,551,200.80/150,305,326,801.20 = 100,203,551,200.80/x
  3. Step 3: Cross multiply
    100,203,551,200.80x = 150,305,326,801.20 × 100,203,551,200.80
  4. Step 4: Simplify right side
    100,203,551,200.80x = 15,061,127,509,877,022,785,536
  5. Step 5: Solve for x
    x = 15,061,127,509,877,022,785,536/100,203,551,200.80
  6. Step 6: Final answer
    x = 150,305,326,801.20

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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.