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Finding the Fourth Proportional to 12,131,887,906.20, 18,197,831,859.30 and 12,131,887,906.20

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Solution

The fourth proportional to 12,131,887,906.20, 18,197,831,859.30 and 12,131,887,906.20 is: 18,197,831,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131,887,906.20 : 18,197,831,859.30 = 12,131,887,906.20 : x
  2. Step 2: Convert to fraction form
    12,131,887,906.20/18,197,831,859.30 = 12,131,887,906.20/x
  3. Step 3: Cross multiply
    12,131,887,906.20x = 18,197,831,859.30 × 12,131,887,906.20
  4. Step 4: Simplify right side
    12,131,887,906.20x = 220,774,056,252,902,735,872
  5. Step 5: Solve for x
    x = 220,774,056,252,902,735,872/12,131,887,906.20
  6. Step 6: Final answer
    x = 18,197,831,859.30

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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.