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Finding the Fourth Proportional to 6,384,474,245.70, 9,576,711,368.55 and 6,384,474,245.70

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Solution

The fourth proportional to 6,384,474,245.70, 9,576,711,368.55 and 6,384,474,245.70 is: 9,576,711,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,474,245.70 : 9,576,711,368.55 = 6,384,474,245.70 : x
  2. Step 2: Convert to fraction form
    6,384,474,245.70/9,576,711,368.55 = 6,384,474,245.70/x
  3. Step 3: Cross multiply
    6,384,474,245.70x = 9,576,711,368.55 × 6,384,474,245.70
  4. Step 4: Simplify right side
    6,384,474,245.70x = 61,142,267,091,009,871,872
  5. Step 5: Solve for x
    x = 61,142,267,091,009,871,872/6,384,474,245.70
  6. Step 6: Final answer
    x = 9,576,711,368.55

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Double scale
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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.