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Finding the Fourth Proportional to 362,011,978.20, 543,017,967.30 and 333,668,458.20

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Solution

The fourth proportional to 362,011,978.20, 543,017,967.30 and 333,668,458.20 is: 500,502,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,011,978.20 : 543,017,967.30 = 333,668,458.20 : x
  2. Step 2: Convert to fraction form
    362,011,978.20/543,017,967.30 = 333,668,458.20/x
  3. Step 3: Cross multiply
    362,011,978.20x = 543,017,967.30 × 333,668,458.20
  4. Step 4: Simplify right side
    362,011,978.20x = 181,187,967,923,888,992
  5. Step 5: Solve for x
    x = 181,187,967,923,888,992/362,011,978.20
  6. Step 6: Final answer
    x = 500,502,687.30

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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.