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Finding the Fourth Proportional to 192,308,715.12, 288,460,553.04 and 46,741,853.64

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Solution

The fourth proportional to 192,308,715.12, 288,460,553.04 and 46,741,853.64 is: 70,112,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,308,715.12 : 288,460,553.04 = 46,741,853.64 : x
  2. Step 2: Convert to fraction form
    192,308,715.12/288,460,553.04 = 46,741,853.64/x
  3. Step 3: Cross multiply
    192,308,715.12x = 288,460,553.04 × 46,741,853.64
  4. Step 4: Simplify right side
    192,308,715.12x = 13,483,180,951,109,138
  5. Step 5: Solve for x
    x = 13,483,180,951,109,138/192,308,715.12
  6. Step 6: Final answer
    x = 70,112,168.05

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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.