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Finding the Fourth Proportional to 279,936,416.40, 419,904,624.60 and 256,127,859.60

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Solution

The fourth proportional to 279,936,416.40, 419,904,624.60 and 256,127,859.60 is: 384,191,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,416.40 : 419,904,624.60 = 256,127,859.60 : x
  2. Step 2: Convert to fraction form
    279,936,416.40/419,904,624.60 = 256,127,859.60/x
  3. Step 3: Cross multiply
    279,936,416.40x = 419,904,624.60 × 256,127,859.60
  4. Step 4: Simplify right side
    279,936,416.40x = 107,549,272,734,939,504
  5. Step 5: Solve for x
    x = 107,549,272,734,939,504/279,936,416.40
  6. Step 6: Final answer
    x = 384,191,789.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.