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Finding the Fourth Proportional to 279,936,277.40, 419,904,416.10 and 275,401,314.20

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Solution

The fourth proportional to 279,936,277.40, 419,904,416.10 and 275,401,314.20 is: 413,101,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,277.40 : 419,904,416.10 = 275,401,314.20 : x
  2. Step 2: Convert to fraction form
    279,936,277.40/419,904,416.10 = 275,401,314.20/x
  3. Step 3: Cross multiply
    279,936,277.40x = 419,904,416.10 × 275,401,314.20
  4. Step 4: Simplify right side
    279,936,277.40x = 115,642,228,032,323,648
  5. Step 5: Solve for x
    x = 115,642,228,032,323,648/279,936,277.40
  6. Step 6: Final answer
    x = 413,101,971.30

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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.