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Finding the Fourth Proportional to 165,723,191,999.20, 248,584,787,998.80 and 165,723,191,999.20

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Solution

The fourth proportional to 165,723,191,999.20, 248,584,787,998.80 and 165,723,191,999.20 is: 248,584,787,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,723,191,999.20 : 248,584,787,998.80 = 165,723,191,999.20 : x
  2. Step 2: Convert to fraction form
    165,723,191,999.20/248,584,787,998.80 = 165,723,191,999.20/x
  3. Step 3: Cross multiply
    165,723,191,999.20x = 248,584,787,998.80 × 165,723,191,999.20
  4. Step 4: Simplify right side
    165,723,191,999.20x = 41,196,264,549,605,558,976,512
  5. Step 5: Solve for x
    x = 41,196,264,549,605,558,976,512/165,723,191,999.20
  6. Step 6: Final answer
    x = 248,584,787,998.80

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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.