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Finding the Fourth Proportional to 243,242,513,999.85, 364,863,770,999.78 and 243,242,513,999.85

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Solution

The fourth proportional to 243,242,513,999.85, 364,863,770,999.78 and 243,242,513,999.85 is: 364,863,770,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,242,513,999.85 : 364,863,770,999.78 = 243,242,513,999.85 : x
  2. Step 2: Convert to fraction form
    243,242,513,999.85/364,863,770,999.78 = 243,242,513,999.85/x
  3. Step 3: Cross multiply
    243,242,513,999.85x = 364,863,770,999.78 × 243,242,513,999.85
  4. Step 4: Simplify right side
    243,242,513,999.85x = 88,750,380,925,452,061,507,584
  5. Step 5: Solve for x
    x = 88,750,380,925,452,061,507,584/243,242,513,999.85
  6. Step 6: Final answer
    x = 364,863,770,999.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.