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Finding the Fourth Proportional to 419,905,415.80, 629,858,123.70 and 389,294,414.20

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Solution

The fourth proportional to 419,905,415.80, 629,858,123.70 and 389,294,414.20 is: 583,941,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,415.80 : 629,858,123.70 = 389,294,414.20 : x
  2. Step 2: Convert to fraction form
    419,905,415.80/629,858,123.70 = 389,294,414.20/x
  3. Step 3: Cross multiply
    419,905,415.80x = 629,858,123.70 × 389,294,414.20
  4. Step 4: Simplify right side
    419,905,415.80x = 245,200,249,294,902,656
  5. Step 5: Solve for x
    x = 245,200,249,294,902,656/419,905,415.80
  6. Step 6: Final answer
    x = 583,941,621.30

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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.