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Finding the Fourth Proportional to 12,142,224,200.55, 18,213,336,300.84 and 12,142,224,200.55

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Solution

The fourth proportional to 12,142,224,200.55, 18,213,336,300.84 and 12,142,224,200.55 is: 18,213,336,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,224,200.55 : 18,213,336,300.84 = 12,142,224,200.55 : x
  2. Step 2: Convert to fraction form
    12,142,224,200.55/18,213,336,300.84 = 12,142,224,200.55/x
  3. Step 3: Cross multiply
    12,142,224,200.55x = 18,213,336,300.84 × 12,142,224,200.55
  4. Step 4: Simplify right side
    12,142,224,200.55x = 221,150,412,804,815,257,600
  5. Step 5: Solve for x
    x = 221,150,412,804,815,257,600/12,142,224,200.55
  6. Step 6: Final answer
    x = 18,213,336,300.84

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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.