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Finding the Fourth Proportional to 413,753,413,443.15, 620,630,120,164.73 and 413,753,413,443.15

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Solution

The fourth proportional to 413,753,413,443.15, 620,630,120,164.73 and 413,753,413,443.15 is: 620,630,120,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,753,413,443.15 : 620,630,120,164.73 = 413,753,413,443.15 : x
  2. Step 2: Convert to fraction form
    413,753,413,443.15/620,630,120,164.73 = 413,753,413,443.15/x
  3. Step 3: Cross multiply
    413,753,413,443.15x = 620,630,120,164.73 × 413,753,413,443.15
  4. Step 4: Simplify right side
    413,753,413,443.15x = 256,787,830,703,789,413,761,024
  5. Step 5: Solve for x
    x = 256,787,830,703,789,413,761,024/413,753,413,443.15
  6. Step 6: Final answer
    x = 620,630,120,164.73

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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.