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Finding the Fourth Proportional to 413,753,413,432.90, 620,630,120,149.34 and 413,753,413,432.90

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Solution

The fourth proportional to 413,753,413,432.90, 620,630,120,149.34 and 413,753,413,432.90 is: 620,630,120,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,432.90 : 620,630,120,149.34 = 413,753,413,432.90 : x
  2. Step 2: Convert to fraction form
    413,753,413,432.90/620,630,120,149.34 = 413,753,413,432.90/x
  3. Step 3: Cross multiply
    413,753,413,432.90x = 620,630,120,149.34 × 413,753,413,432.90
  4. Step 4: Simplify right side
    413,753,413,432.90x = 256,787,830,691,060,271,546,368
  5. Step 5: Solve for x
    x = 256,787,830,691,060,271,546,368/413,753,413,432.90
  6. Step 6: Final answer
    x = 620,630,120,149.34

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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.