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Finding the Fourth Proportional to 551,188,220,400.45, 826,782,330,600.67 and 551,188,220,400.45

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Solution

The fourth proportional to 551,188,220,400.45, 826,782,330,600.67 and 551,188,220,400.45 is: 826,782,330,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,188,220,400.45 : 826,782,330,600.67 = 551,188,220,400.45 : x
  2. Step 2: Convert to fraction form
    551,188,220,400.45/826,782,330,600.67 = 551,188,220,400.45/x
  3. Step 3: Cross multiply
    551,188,220,400.45x = 826,782,330,600.67 × 551,188,220,400.45
  4. Step 4: Simplify right side
    551,188,220,400.45x = 455,712,681,462,319,800,123,392
  5. Step 5: Solve for x
    x = 455,712,681,462,319,800,123,392/551,188,220,400.45
  6. Step 6: Final answer
    x = 826,782,330,600.67

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1.5x scale

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.