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Finding the Fourth Proportional to 12,132,908,076.20, 18,199,362,114.30 and 12,132,908,076.20

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Solution

The fourth proportional to 12,132,908,076.20, 18,199,362,114.30 and 12,132,908,076.20 is: 18,199,362,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132,908,076.20 : 18,199,362,114.30 = 12,132,908,076.20 : x
  2. Step 2: Convert to fraction form
    12,132,908,076.20/18,199,362,114.30 = 12,132,908,076.20/x
  3. Step 3: Cross multiply
    12,132,908,076.20x = 18,199,362,114.30 × 12,132,908,076.20
  4. Step 4: Simplify right side
    12,132,908,076.20x = 220,811,187,578,278,772,736
  5. Step 5: Solve for x
    x = 220,811,187,578,278,772,736/12,132,908,076.20
  6. Step 6: Final answer
    x = 18,199,362,114.30

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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.