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Finding the Fourth Proportional to 279,936,284.70, 419,904,427.06 and 279,936,284.70

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Solution

The fourth proportional to 279,936,284.70, 419,904,427.06 and 279,936,284.70 is: 419,904,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,284.70 : 419,904,427.06 = 279,936,284.70 : x
  2. Step 2: Convert to fraction form
    279,936,284.70/419,904,427.06 = 279,936,284.70/x
  3. Step 3: Cross multiply
    279,936,284.70x = 419,904,427.06 × 279,936,284.70
  4. Step 4: Simplify right side
    279,936,284.70x = 117,546,485,240,258,544
  5. Step 5: Solve for x
    x = 117,546,485,240,258,544/279,936,284.70
  6. Step 6: Final answer
    x = 419,904,427.06

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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.