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Finding the Fourth Proportional to 485,323,857.65, 727,985,786.48 and 485,323,857.65

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Solution

The fourth proportional to 485,323,857.65, 727,985,786.48 and 485,323,857.65 is: 727,985,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323,857.65 : 727,985,786.48 = 485,323,857.65 : x
  2. Step 2: Convert to fraction form
    485,323,857.65/727,985,786.48 = 485,323,857.65/x
  3. Step 3: Cross multiply
    485,323,857.65x = 727,985,786.48 × 485,323,857.65
  4. Step 4: Simplify right side
    485,323,857.65x = 353,308,870,206,416,192
  5. Step 5: Solve for x
    x = 353,308,870,206,416,192/485,323,857.65
  6. Step 6: Final answer
    x = 727,985,786.48

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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.