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Finding the Fourth Proportional to 136,049,202,006.40, 204,073,803,009.60 and 136,049,202,006.40

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Solution

The fourth proportional to 136,049,202,006.40, 204,073,803,009.60 and 136,049,202,006.40 is: 204,073,803,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,049,202,006.40 : 204,073,803,009.60 = 136,049,202,006.40 : x
  2. Step 2: Convert to fraction form
    136,049,202,006.40/204,073,803,009.60 = 136,049,202,006.40/x
  3. Step 3: Cross multiply
    136,049,202,006.40x = 204,073,803,009.60 × 136,049,202,006.40
  4. Step 4: Simplify right side
    136,049,202,006.40x = 27,764,078,049,867,350,409,216
  5. Step 5: Solve for x
    x = 27,764,078,049,867,350,409,216/136,049,202,006.40
  6. Step 6: Final answer
    x = 204,073,803,009.60

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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.