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Finding the Fourth Proportional to 143,356,824,000.20, 215,035,236,000.30 and 143,356,824,000.20

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Solution

The fourth proportional to 143,356,824,000.20, 215,035,236,000.30 and 143,356,824,000.20 is: 215,035,236,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,356,824,000.20 : 215,035,236,000.30 = 143,356,824,000.20 : x
  2. Step 2: Convert to fraction form
    143,356,824,000.20/215,035,236,000.30 = 143,356,824,000.20/x
  3. Step 3: Cross multiply
    143,356,824,000.20x = 215,035,236,000.30 × 143,356,824,000.20
  4. Step 4: Simplify right side
    143,356,824,000.20x = 30,826,768,481,136,477,732,864
  5. Step 5: Solve for x
    x = 30,826,768,481,136,477,732,864/143,356,824,000.20
  6. Step 6: Final answer
    x = 215,035,236,000.30

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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.