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Finding the Fourth Proportional to 226,652,002.90, 339,978,004.36 and 73,408,038.10

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Solution

The fourth proportional to 226,652,002.90, 339,978,004.36 and 73,408,038.10 is: 110,112,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,652,002.90 : 339,978,004.36 = 73,408,038.10 : x
  2. Step 2: Convert to fraction form
    226,652,002.90/339,978,004.36 = 73,408,038.10/x
  3. Step 3: Cross multiply
    226,652,002.90x = 339,978,004.36 × 73,408,038.10
  4. Step 4: Simplify right side
    226,652,002.90x = 24,957,118,297,220,844
  5. Step 5: Solve for x
    x = 24,957,118,297,220,844/226,652,002.90
  6. Step 6: Final answer
    x = 110,112,057.15

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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.