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Finding the Fourth Proportional to 136,364,662.40, 204,672,964.80 and 68,256,233.60

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Solution

The fourth proportional to 136,364,662.40, 204,672,964.80 and 68,256,233.60 is: 102,447,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,364,662.40 : 204,672,964.80 = 68,256,233.60 : x
  2. Step 2: Convert to fraction form
    136,364,662.40/204,672,964.80 = 68,256,233.60/x
  3. Step 3: Cross multiply
    136,364,662.40x = 204,672,964.80 × 68,256,233.60
  4. Step 4: Simplify right side
    136,364,662.40x = 13,970,205,696,993,376
  5. Step 5: Solve for x
    x = 13,970,205,696,993,376/136,364,662.40
  6. Step 6: Final answer
    x = 102,447,404.27

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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.