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Finding the Fourth Proportional to 192,458,189.60, 288,687,284.40 and 186,789,485.60

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Solution

The fourth proportional to 192,458,189.60, 288,687,284.40 and 186,789,485.60 is: 280,184,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458,189.60 : 288,687,284.40 = 186,789,485.60 : x
  2. Step 2: Convert to fraction form
    192,458,189.60/288,687,284.40 = 186,789,485.60/x
  3. Step 3: Cross multiply
    192,458,189.60x = 288,687,284.40 × 186,789,485.60
  4. Step 4: Simplify right side
    192,458,189.60x = 53,923,749,352,336,896
  5. Step 5: Solve for x
    x = 53,923,749,352,336,896/192,458,189.60
  6. Step 6: Final answer
    x = 280,184,228.40

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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.