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Finding the Fourth Proportional to 419,905,512.90, 586,507,229.10 and 419,905,512.90

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Solution

The fourth proportional to 419,905,512.90, 586,507,229.10 and 419,905,512.90 is: 586,507,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,512.90 : 586,507,229.10 = 419,905,512.90 : x
  2. Step 2: Convert to fraction form
    419,905,512.90/586,507,229.10 = 419,905,512.90/x
  3. Step 3: Cross multiply
    419,905,512.90x = 586,507,229.10 × 419,905,512.90
  4. Step 4: Simplify right side
    419,905,512.90x = 246,277,618,854,793,312
  5. Step 5: Solve for x
    x = 246,277,618,854,793,312/419,905,512.90
  6. Step 6: Final answer
    x = 586,507,229.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.