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Finding the Fourth Proportional to 6,230,143,835,998.80, 9,345,215,753,998.80 and 6,230,143,835,998.80

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Solution

The fourth proportional to 6,230,143,835,998.80, 9,345,215,753,998.80 and 6,230,143,835,998.80 is: 9,345,215,753,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230,143,835,998.80 : 9,345,215,753,998.80 = 6,230,143,835,998.80 : x
  2. Step 2: Convert to fraction form
    6,230,143,835,998.80/9,345,215,753,998.80 = 6,230,143,835,998.80/x
  3. Step 3: Cross multiply
    6,230,143,835,998.80x = 9,345,215,753,998.80 × 6,230,143,835,998.80
  4. Step 4: Simplify right side
    6,230,143,835,998.80x = 58,222,038,325,854,502,775,685,120
  5. Step 5: Solve for x
    x = 58,222,038,325,854,502,775,685,120/6,230,143,835,998.80
  6. Step 6: Final answer
    x = 9,345,215,753,998.80

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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.