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Finding the Fourth Proportional to 263,064,564,850.80, 394,596,847,276.20 and 263,064,564,850.80

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Solution

The fourth proportional to 263,064,564,850.80, 394,596,847,276.20 and 263,064,564,850.80 is: 394,596,847,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,064,564,850.80 : 394,596,847,276.20 = 263,064,564,850.80 : x
  2. Step 2: Convert to fraction form
    263,064,564,850.80/394,596,847,276.20 = 263,064,564,850.80/x
  3. Step 3: Cross multiply
    263,064,564,850.80x = 394,596,847,276.20 × 263,064,564,850.80
  4. Step 4: Simplify right side
    263,064,564,850.80x = 103,804,447,920,211,137,396,736
  5. Step 5: Solve for x
    x = 103,804,447,920,211,137,396,736/263,064,564,850.80
  6. Step 6: Final answer
    x = 394,596,847,276.20

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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.