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Finding the Fourth Proportional to 48,962,184,251.60, 68,677,664,892.40 and 48,962,184,251.60

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Solution

The fourth proportional to 48,962,184,251.60, 68,677,664,892.40 and 48,962,184,251.60 is: 68,677,664,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,962,184,251.60 : 68,677,664,892.40 = 48,962,184,251.60 : x
  2. Step 2: Convert to fraction form
    48,962,184,251.60/68,677,664,892.40 = 48,962,184,251.60/x
  3. Step 3: Cross multiply
    48,962,184,251.60x = 68,677,664,892.40 × 48,962,184,251.60
  4. Step 4: Simplify right side
    48,962,184,251.60x = 3,362,608,482,431,329,632,256
  5. Step 5: Solve for x
    x = 3,362,608,482,431,329,632,256/48,962,184,251.60
  6. Step 6: Final answer
    x = 68,677,664,892.40

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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.