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Finding the Fourth Proportional to 419,907,468.60, 629,861,202.90 and 362,464,601.40

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Solution

The fourth proportional to 419,907,468.60, 629,861,202.90 and 362,464,601.40 is: 543,696,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,468.60 : 629,861,202.90 = 362,464,601.40 : x
  2. Step 2: Convert to fraction form
    419,907,468.60/629,861,202.90 = 362,464,601.40/x
  3. Step 3: Cross multiply
    419,907,468.60x = 629,861,202.90 × 362,464,601.40
  4. Step 4: Simplify right side
    419,907,468.60x = 228,302,389,846,472,992
  5. Step 5: Solve for x
    x = 228,302,389,846,472,992/419,907,468.60
  6. Step 6: Final answer
    x = 543,696,902.10

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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.