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Finding the Fourth Proportional to 419,138,187.20, 628,707,280.80 and 189,217,419.20

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Solution

The fourth proportional to 419,138,187.20, 628,707,280.80 and 189,217,419.20 is: 283,826,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,138,187.20 : 628,707,280.80 = 189,217,419.20 : x
  2. Step 2: Convert to fraction form
    419,138,187.20/628,707,280.80 = 189,217,419.20/x
  3. Step 3: Cross multiply
    419,138,187.20x = 628,707,280.80 × 189,217,419.20
  4. Step 4: Simplify right side
    419,138,187.20x = 118,962,369,105,225,696
  5. Step 5: Solve for x
    x = 118,962,369,105,225,696/419,138,187.20
  6. Step 6: Final answer
    x = 283,826,128.80

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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.