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Finding the Fourth Proportional to 195,848,736,616.40, 274,710,659,023.60 and 195,848,736,616.40

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Solution

The fourth proportional to 195,848,736,616.40, 274,710,659,023.60 and 195,848,736,616.40 is: 274,710,659,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,848,736,616.40 : 274,710,659,023.60 = 195,848,736,616.40 : x
  2. Step 2: Convert to fraction form
    195,848,736,616.40/274,710,659,023.60 = 195,848,736,616.40/x
  3. Step 3: Cross multiply
    195,848,736,616.40x = 274,710,659,023.60 × 195,848,736,616.40
  4. Step 4: Simplify right side
    195,848,736,616.40x = 53,801,735,504,830,700,453,888
  5. Step 5: Solve for x
    x = 53,801,735,504,830,700,453,888/195,848,736,616.40
  6. Step 6: Final answer
    x = 274,710,659,023.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.