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Finding the Fourth Proportional to 110,536,784.80, 165,506,578.80 and 86,648,912.80

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Solution

The fourth proportional to 110,536,784.80, 165,506,578.80 and 86,648,912.80 is: 129,739,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536,784.80 : 165,506,578.80 = 86,648,912.80 : x
  2. Step 2: Convert to fraction form
    110,536,784.80/165,506,578.80 = 86,648,912.80/x
  3. Step 3: Cross multiply
    110,536,784.80x = 165,506,578.80 × 86,648,912.80
  4. Step 4: Simplify right side
    110,536,784.80x = 14,340,965,114,267,530
  5. Step 5: Solve for x
    x = 14,340,965,114,267,530/110,536,784.80
  6. Step 6: Final answer
    x = 129,739,300.27

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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.