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Finding the Fourth Proportional to 274,711,104,003.60, 412,066,656,005.42 and 274,711,104,003.60

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Solution

The fourth proportional to 274,711,104,003.60, 412,066,656,005.42 and 274,711,104,003.60 is: 412,066,656,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,711,104,003.60 : 412,066,656,005.42 = 274,711,104,003.60 : x
  2. Step 2: Convert to fraction form
    274,711,104,003.60/412,066,656,005.42 = 274,711,104,003.60/x
  3. Step 3: Cross multiply
    274,711,104,003.60x = 412,066,656,005.42 × 274,711,104,003.60
  4. Step 4: Simplify right side
    274,711,104,003.60x = 113,199,285,994,320,591,585,280
  5. Step 5: Solve for x
    x = 113,199,285,994,320,591,585,280/274,711,104,003.60
  6. Step 6: Final answer
    x = 412,066,656,005.42

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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.