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Finding the Fourth Proportional to 316,462,945.20, 474,694,417.80 and 213,150,814.80

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Solution

The fourth proportional to 316,462,945.20, 474,694,417.80 and 213,150,814.80 is: 319,726,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,462,945.20 : 474,694,417.80 = 213,150,814.80 : x
  2. Step 2: Convert to fraction form
    316,462,945.20/474,694,417.80 = 213,150,814.80/x
  3. Step 3: Cross multiply
    316,462,945.20x = 474,694,417.80 × 213,150,814.80
  4. Step 4: Simplify right side
    316,462,945.20x = 101,181,501,935,081,632
  5. Step 5: Solve for x
    x = 101,181,501,935,081,632/316,462,945.20
  6. Step 6: Final answer
    x = 319,726,222.20

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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.