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Finding the Fourth Proportional to 457,603,414.40, 686,405,121.60 and 457,603,414.40

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Solution

The fourth proportional to 457,603,414.40, 686,405,121.60 and 457,603,414.40 is: 686,405,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,603,414.40 : 686,405,121.60 = 457,603,414.40 : x
  2. Step 2: Convert to fraction form
    457,603,414.40/686,405,121.60 = 457,603,414.40/x
  3. Step 3: Cross multiply
    457,603,414.40x = 686,405,121.60 × 457,603,414.40
  4. Step 4: Simplify right side
    457,603,414.40x = 314,101,327,305,807,168
  5. Step 5: Solve for x
    x = 314,101,327,305,807,168/457,603,414.40
  6. Step 6: Final answer
    x = 686,405,121.60

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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.