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Finding the Fourth Proportional to 276,291,241.90, 414,436,862.85 and 276,291,241.90

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Solution

The fourth proportional to 276,291,241.90, 414,436,862.85 and 276,291,241.90 is: 414,436,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,291,241.90 : 414,436,862.85 = 276,291,241.90 : x
  2. Step 2: Convert to fraction form
    276,291,241.90/414,436,862.85 = 276,291,241.90/x
  3. Step 3: Cross multiply
    276,291,241.90x = 414,436,862.85 × 276,291,241.90
  4. Step 4: Simplify right side
    276,291,241.90x = 114,505,275,525,966,464
  5. Step 5: Solve for x
    x = 114,505,275,525,966,464/276,291,241.90
  6. Step 6: Final answer
    x = 414,436,862.85

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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.