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Finding the Fourth Proportional to 413,753,413,999.90, 620,630,120,999.85 and 413,753,413,999.90

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Solution

The fourth proportional to 413,753,413,999.90, 620,630,120,999.85 and 413,753,413,999.90 is: 620,630,120,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,999.90 : 620,630,120,999.85 = 413,753,413,999.90 : x
  2. Step 2: Convert to fraction form
    413,753,413,999.90/620,630,120,999.85 = 413,753,413,999.90/x
  3. Step 3: Cross multiply
    413,753,413,999.90x = 620,630,120,999.85 × 413,753,413,999.90
  4. Step 4: Simplify right side
    413,753,413,999.90x = 256,787,831,394,858,979,819,520
  5. Step 5: Solve for x
    x = 256,787,831,394,858,979,819,520/413,753,413,999.90
  6. Step 6: Final answer
    x = 620,630,120,999.85

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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.