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Finding the Fourth Proportional to 47,268,178,857.60, 70,902,268,286.40 and 47,268,178,857.60

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Solution

The fourth proportional to 47,268,178,857.60, 70,902,268,286.40 and 47,268,178,857.60 is: 70,902,268,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,268,178,857.60 : 70,902,268,286.40 = 47,268,178,857.60 : x
  2. Step 2: Convert to fraction form
    47,268,178,857.60/70,902,268,286.40 = 47,268,178,857.60/x
  3. Step 3: Cross multiply
    47,268,178,857.60x = 70,902,268,286.40 × 47,268,178,857.60
  4. Step 4: Simplify right side
    47,268,178,857.60x = 3,351,421,098,771,095,224,320
  5. Step 5: Solve for x
    x = 3,351,421,098,771,095,224,320/47,268,178,857.60
  6. Step 6: Final answer
    x = 70,902,268,286.40

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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.