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Finding the Fourth Proportional to 140,940,346.30, 211,410,519.45 and 140,940,346.30

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Solution

The fourth proportional to 140,940,346.30, 211,410,519.45 and 140,940,346.30 is: 211,410,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940,346.30 : 211,410,519.45 = 140,940,346.30 : x
  2. Step 2: Convert to fraction form
    140,940,346.30/211,410,519.45 = 140,940,346.30/x
  3. Step 3: Cross multiply
    140,940,346.30x = 211,410,519.45 × 140,940,346.30
  4. Step 4: Simplify right side
    140,940,346.30x = 29,796,271,822,745,888
  5. Step 5: Solve for x
    x = 29,796,271,822,745,888/140,940,346.30
  6. Step 6: Final answer
    x = 211,410,519.45

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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.