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Finding the Fourth Proportional to 110,640,745.20, 165,961,117.80 and 110,640,745.20

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Solution

The fourth proportional to 110,640,745.20, 165,961,117.80 and 110,640,745.20 is: 165,961,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,640,745.20 : 165,961,117.80 = 110,640,745.20 : x
  2. Step 2: Convert to fraction form
    110,640,745.20/165,961,117.80 = 110,640,745.20/x
  3. Step 3: Cross multiply
    110,640,745.20x = 165,961,117.80 × 110,640,745.20
  4. Step 4: Simplify right side
    110,640,745.20x = 18,362,061,747,616,988
  5. Step 5: Solve for x
    x = 18,362,061,747,616,988/110,640,745.20
  6. Step 6: Final answer
    x = 165,961,117.80

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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.