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Finding the Fourth Proportional to 120,533,887,999.20, 180,800,831,998.80 and 120,533,887,999.20

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Solution

The fourth proportional to 120,533,887,999.20, 180,800,831,998.80 and 120,533,887,999.20 is: 180,800,831,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,533,887,999.20 : 180,800,831,998.80 = 120,533,887,999.20 : x
  2. Step 2: Convert to fraction form
    120,533,887,999.20/180,800,831,998.80 = 120,533,887,999.20/x
  3. Step 3: Cross multiply
    120,533,887,999.20x = 180,800,831,998.80 × 120,533,887,999.20
  4. Step 4: Simplify right side
    120,533,887,999.20x = 21,792,627,234,305,533,280,256
  5. Step 5: Solve for x
    x = 21,792,627,234,305,533,280,256/120,533,887,999.20
  6. Step 6: Final answer
    x = 180,800,831,998.80

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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.