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Finding the Fourth Proportional to 4,633,233,847.80, 6,949,850,771.70 and 4,633,233,847.80

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Solution

The fourth proportional to 4,633,233,847.80, 6,949,850,771.70 and 4,633,233,847.80 is: 6,949,850,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633,233,847.80 : 6,949,850,771.70 = 4,633,233,847.80 : x
  2. Step 2: Convert to fraction form
    4,633,233,847.80/6,949,850,771.70 = 4,633,233,847.80/x
  3. Step 3: Cross multiply
    4,633,233,847.80x = 6,949,850,771.70 × 4,633,233,847.80
  4. Step 4: Simplify right side
    4,633,233,847.80x = 32,200,283,832,599,392,256
  5. Step 5: Solve for x
    x = 32,200,283,832,599,392,256/4,633,233,847.80
  6. Step 6: Final answer
    x = 6,949,850,771.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.