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Finding the Fourth Proportional to 136,049,202,004.15, 204,073,803,006.22 and 136,049,202,004.15

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Solution

The fourth proportional to 136,049,202,004.15, 204,073,803,006.22 and 136,049,202,004.15 is: 204,073,803,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,049,202,004.15 : 204,073,803,006.22 = 136,049,202,004.15 : x
  2. Step 2: Convert to fraction form
    136,049,202,004.15/204,073,803,006.22 = 136,049,202,004.15/x
  3. Step 3: Cross multiply
    136,049,202,004.15x = 204,073,803,006.22 × 136,049,202,004.15
  4. Step 4: Simplify right side
    136,049,202,004.15x = 27,764,078,048,948,336,459,776
  5. Step 5: Solve for x
    x = 27,764,078,048,948,336,459,776/136,049,202,004.15
  6. Step 6: Final answer
    x = 204,073,803,006.22

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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.