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Finding the Fourth Proportional to 200,530,404,414.45, 300,795,606,621.67 and 200,530,404,414.45

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Solution

The fourth proportional to 200,530,404,414.45, 300,795,606,621.67 and 200,530,404,414.45 is: 300,795,606,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,414.45 : 300,795,606,621.67 = 200,530,404,414.45 : x
  2. Step 2: Convert to fraction form
    200,530,404,414.45/300,795,606,621.67 = 200,530,404,414.45/x
  3. Step 3: Cross multiply
    200,530,404,414.45x = 300,795,606,621.67 × 200,530,404,414.45
  4. Step 4: Simplify right side
    200,530,404,414.45x = 60,318,664,641,933,301,776,384
  5. Step 5: Solve for x
    x = 60,318,664,641,933,301,776,384/200,530,404,414.45
  6. Step 6: Final answer
    x = 300,795,606,621.67

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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.