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Finding the Fourth Proportional to 413,753,414,000.16, 620,630,121,000.20 and 413,753,414,000.16

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Solution

The fourth proportional to 413,753,414,000.16, 620,630,121,000.20 and 413,753,414,000.16 is: 620,630,121,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,414,000.16 : 620,630,121,000.20 = 413,753,414,000.16 : x
  2. Step 2: Convert to fraction form
    413,753,414,000.16/620,630,121,000.20 = 413,753,414,000.16/x
  3. Step 3: Cross multiply
    413,753,414,000.16x = 620,630,121,000.20 × 413,753,414,000.16
  4. Step 4: Simplify right side
    413,753,414,000.16x = 256,787,831,395,165,096,902,656
  5. Step 5: Solve for x
    x = 256,787,831,395,165,096,902,656/413,753,414,000.16
  6. Step 6: Final answer
    x = 620,630,121,000.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.