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Finding the Fourth Proportional to 551,188,206,847.56, 826,782,310,271.34 and 551,188,206,847.56

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Solution

The fourth proportional to 551,188,206,847.56, 826,782,310,271.34 and 551,188,206,847.56 is: 826,782,310,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,188,206,847.56 : 826,782,310,271.34 = 551,188,206,847.56 : x
  2. Step 2: Convert to fraction form
    551,188,206,847.56/826,782,310,271.34 = 551,188,206,847.56/x
  3. Step 3: Cross multiply
    551,188,206,847.56x = 826,782,310,271.34 × 551,188,206,847.56
  4. Step 4: Simplify right side
    551,188,206,847.56x = 455,712,659,051,742,888,984,576
  5. Step 5: Solve for x
    x = 455,712,659,051,742,888,984,576/551,188,206,847.56
  6. Step 6: Final answer
    x = 826,782,310,271.34

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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.