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Finding the Fourth Proportional to 48,389,638,100.20, 72,584,457,150.30 and 48,389,638,100.20

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Solution

The fourth proportional to 48,389,638,100.20, 72,584,457,150.30 and 48,389,638,100.20 is: 72,584,457,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,389,638,100.20 : 72,584,457,150.30 = 48,389,638,100.20 : x
  2. Step 2: Convert to fraction form
    48,389,638,100.20/72,584,457,150.30 = 48,389,638,100.20/x
  3. Step 3: Cross multiply
    48,389,638,100.20x = 72,584,457,150.30 × 48,389,638,100.20
  4. Step 4: Simplify right side
    48,389,638,100.20x = 3,512,335,613,202,490,982,400
  5. Step 5: Solve for x
    x = 3,512,335,613,202,490,982,400/48,389,638,100.20
  6. Step 6: Final answer
    x = 72,584,457,150.30

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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.