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Finding the Fourth Proportional to 20,442,220,400.55, 30,663,330,600.83 and 20,442,220,400.55

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Solution

The fourth proportional to 20,442,220,400.55, 30,663,330,600.83 and 20,442,220,400.55 is: 30,663,330,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442,220,400.55 : 30,663,330,600.83 = 20,442,220,400.55 : x
  2. Step 2: Convert to fraction form
    20,442,220,400.55/30,663,330,600.83 = 20,442,220,400.55/x
  3. Step 3: Cross multiply
    20,442,220,400.55x = 30,663,330,600.83 × 20,442,220,400.55
  4. Step 4: Simplify right side
    20,442,220,400.55x = 626,826,562,356,993,851,392
  5. Step 5: Solve for x
    x = 626,826,562,356,993,851,392/20,442,220,400.55
  6. Step 6: Final answer
    x = 30,663,330,600.83

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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.