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Finding the Fourth Proportional to 6,178,667,728.60, 9,268,001,592.90 and 6,178,667,728.60

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Solution

The fourth proportional to 6,178,667,728.60, 9,268,001,592.90 and 6,178,667,728.60 is: 9,268,001,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,667,728.60 : 9,268,001,592.90 = 6,178,667,728.60 : x
  2. Step 2: Convert to fraction form
    6,178,667,728.60/9,268,001,592.90 = 6,178,667,728.60/x
  3. Step 3: Cross multiply
    6,178,667,728.60x = 9,268,001,592.90 × 6,178,667,728.60
  4. Step 4: Simplify right side
    6,178,667,728.60x = 57,263,902,350,664,622,080
  5. Step 5: Solve for x
    x = 57,263,902,350,664,622,080/6,178,667,728.60
  6. Step 6: Final answer
    x = 9,268,001,592.90

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1.5x scale

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.