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Finding the Fourth Proportional to 193,642,103.40, 290,071,244.70 and 120,634,794.60

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Solution

The fourth proportional to 193,642,103.40, 290,071,244.70 and 120,634,794.60 is: 180,708,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,642,103.40 : 290,071,244.70 = 120,634,794.60 : x
  2. Step 2: Convert to fraction form
    193,642,103.40/290,071,244.70 = 120,634,794.60/x
  3. Step 3: Cross multiply
    193,642,103.40x = 290,071,244.70 × 120,634,794.60
  4. Step 4: Simplify right side
    193,642,103.40x = 34,992,685,023,750,836
  5. Step 5: Solve for x
    x = 34,992,685,023,750,836/193,642,103.40
  6. Step 6: Final answer
    x = 180,708,040.29

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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.