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Finding the Fourth Proportional to 110,653,820.80, 165,868,756.80 and 65,192,214.40

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Solution

The fourth proportional to 110,653,820.80, 165,868,756.80 and 65,192,214.40 is: 97,722,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,653,820.80 : 165,868,756.80 = 65,192,214.40 : x
  2. Step 2: Convert to fraction form
    110,653,820.80/165,868,756.80 = 65,192,214.40/x
  3. Step 3: Cross multiply
    110,653,820.80x = 165,868,756.80 × 65,192,214.40
  4. Step 4: Simplify right side
    110,653,820.80x = 10,813,351,555,567,058
  5. Step 5: Solve for x
    x = 10,813,351,555,567,058/110,653,820.80
  6. Step 6: Final answer
    x = 97,722,351.36

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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.