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Finding the Fourth Proportional to 192,458,268.40, 288,351,479.40 and 165,584,412.40

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Solution

The fourth proportional to 192,458,268.40, 288,351,479.40 and 165,584,412.40 is: 248,087,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458,268.40 : 288,351,479.40 = 165,584,412.40 : x
  2. Step 2: Convert to fraction form
    192,458,268.40/288,351,479.40 = 165,584,412.40/x
  3. Step 3: Cross multiply
    192,458,268.40x = 288,351,479.40 × 165,584,412.40
  4. Step 4: Simplify right side
    192,458,268.40x = 47,746,510,281,119,704
  5. Step 5: Solve for x
    x = 47,746,510,281,119,704/192,458,268.40
  6. Step 6: Final answer
    x = 248,087,601.94

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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.