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Finding the Fourth Proportional to 231,787,686,722.90, 347,681,530,084.35 and 231,787,686,722.90

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Solution

The fourth proportional to 231,787,686,722.90, 347,681,530,084.35 and 231,787,686,722.90 is: 347,681,530,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,787,686,722.90 : 347,681,530,084.35 = 231,787,686,722.90 : x
  2. Step 2: Convert to fraction form
    231,787,686,722.90/347,681,530,084.35 = 231,787,686,722.90/x
  3. Step 3: Cross multiply
    231,787,686,722.90x = 347,681,530,084.35 × 231,787,686,722.90
  4. Step 4: Simplify right side
    231,787,686,722.90x = 80,588,297,574,529,839,923,200
  5. Step 5: Solve for x
    x = 80,588,297,574,529,839,923,200/231,787,686,722.90
  6. Step 6: Final answer
    x = 347,681,530,084.35

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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.