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Finding the Fourth Proportional to 826,782,310,200.20, 1,240,173,465,300.30 and 826,782,310,200.20

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Solution

The fourth proportional to 826,782,310,200.20, 1,240,173,465,300.30 and 826,782,310,200.20 is: 1,240,173,465,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,782,310,200.20 : 1,240,173,465,300.30 = 826,782,310,200.20 : x
  2. Step 2: Convert to fraction form
    826,782,310,200.20/1,240,173,465,300.30 = 826,782,310,200.20/x
  3. Step 3: Cross multiply
    826,782,310,200.20x = 1,240,173,465,300.30 × 826,782,310,200.20
  4. Step 4: Simplify right side
    826,782,310,200.20x = 1,025,353,482,689,969,630,740,480
  5. Step 5: Solve for x
    x = 1,025,353,482,689,969,630,740,480/826,782,310,200.20
  6. Step 6: Final answer
    x = 1,240,173,465,300.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.