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Finding the Fourth Proportional to 228,801,745.20, 343,202,617.80 and 228,801,745.20

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Solution

The fourth proportional to 228,801,745.20, 343,202,617.80 and 228,801,745.20 is: 343,202,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,801,745.20 : 343,202,617.80 = 228,801,745.20 : x
  2. Step 2: Convert to fraction form
    228,801,745.20/343,202,617.80 = 228,801,745.20/x
  3. Step 3: Cross multiply
    228,801,745.20x = 343,202,617.80 × 228,801,745.20
  4. Step 4: Simplify right side
    228,801,745.20x = 78,525,357,909,848,576
  5. Step 5: Solve for x
    x = 78,525,357,909,848,576/228,801,745.20
  6. Step 6: Final answer
    x = 343,202,617.80

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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.