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Finding the Fourth Proportional to 613,414,687.88, 919,954,440.48 and 219,868,162.04

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Solution

The fourth proportional to 613,414,687.88, 919,954,440.48 and 219,868,162.04 is: 329,742,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,414,687.88 : 919,954,440.48 = 219,868,162.04 : x
  2. Step 2: Convert to fraction form
    613,414,687.88/919,954,440.48 = 219,868,162.04/x
  3. Step 3: Cross multiply
    613,414,687.88x = 919,954,440.48 × 219,868,162.04
  4. Step 4: Simplify right side
    613,414,687.88x = 202,268,691,988,874,176
  5. Step 5: Solve for x
    x = 202,268,691,988,874,176/613,414,687.88
  6. Step 6: Final answer
    x = 329,742,172.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.