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Finding the Fourth Proportional to 147,014,745.35, 220,522,118.03 and 147,014,745.35

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Solution

The fourth proportional to 147,014,745.35, 220,522,118.03 and 147,014,745.35 is: 220,522,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,014,745.35 : 220,522,118.03 = 147,014,745.35 : x
  2. Step 2: Convert to fraction form
    147,014,745.35/220,522,118.03 = 147,014,745.35/x
  3. Step 3: Cross multiply
    147,014,745.35x = 220,522,118.03 × 147,014,745.35
  4. Step 4: Simplify right side
    147,014,745.35x = 32,420,003,026,223,092
  5. Step 5: Solve for x
    x = 32,420,003,026,223,092/147,014,745.35
  6. Step 6: Final answer
    x = 220,522,118.03

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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.