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Finding the Fourth Proportional to 48,389,638,983.70, 72,584,458,475.55 and 48,389,638,983.70

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Solution

The fourth proportional to 48,389,638,983.70, 72,584,458,475.55 and 48,389,638,983.70 is: 72,584,458,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,389,638,983.70 : 72,584,458,475.55 = 48,389,638,983.70 : x
  2. Step 2: Convert to fraction form
    48,389,638,983.70/72,584,458,475.55 = 48,389,638,983.70/x
  3. Step 3: Cross multiply
    48,389,638,983.70x = 72,584,458,475.55 × 48,389,638,983.70
  4. Step 4: Simplify right side
    48,389,638,983.70x = 3,512,335,741,459,228,000,256
  5. Step 5: Solve for x
    x = 3,512,335,741,459,228,000,256/48,389,638,983.70
  6. Step 6: Final answer
    x = 72,584,458,475.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.