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Finding the Fourth Proportional to 419,905,205.40, 629,857,808.10 and 361,454,568.60

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Solution

The fourth proportional to 419,905,205.40, 629,857,808.10 and 361,454,568.60 is: 542,181,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,205.40 : 629,857,808.10 = 361,454,568.60 : x
  2. Step 2: Convert to fraction form
    419,905,205.40/629,857,808.10 = 361,454,568.60/x
  3. Step 3: Cross multiply
    419,905,205.40x = 629,857,808.10 × 361,454,568.60
  4. Step 4: Simplify right side
    419,905,205.40x = 227,664,982,306,127,104
  5. Step 5: Solve for x
    x = 227,664,982,306,127,104/419,905,205.40
  6. Step 6: Final answer
    x = 542,181,852.90

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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.