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Finding the Fourth Proportional to 197,862,993.60, 296,794,490.40 and 146,206,928.40

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Solution

The fourth proportional to 197,862,993.60, 296,794,490.40 and 146,206,928.40 is: 219,310,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,862,993.60 : 296,794,490.40 = 146,206,928.40 : x
  2. Step 2: Convert to fraction form
    197,862,993.60/296,794,490.40 = 146,206,928.40/x
  3. Step 3: Cross multiply
    197,862,993.60x = 296,794,490.40 × 146,206,928.40
  4. Step 4: Simplify right side
    197,862,993.60x = 43,393,410,807,427,288
  5. Step 5: Solve for x
    x = 43,393,410,807,427,288/197,862,993.60
  6. Step 6: Final answer
    x = 219,310,392.60

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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.