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Finding the Fourth Proportional to 260,760,384,000.26, 391,140,576,000.40 and 260,760,384,000.26

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Solution

The fourth proportional to 260,760,384,000.26, 391,140,576,000.40 and 260,760,384,000.26 is: 391,140,576,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,000.26 : 391,140,576,000.40 = 260,760,384,000.26 : x
  2. Step 2: Convert to fraction form
    260,760,384,000.26/391,140,576,000.40 = 260,760,384,000.26/x
  3. Step 3: Cross multiply
    260,760,384,000.26x = 391,140,576,000.40 × 260,760,384,000.26
  4. Step 4: Simplify right side
    260,760,384,000.26x = 101,993,966,795,947,197,333,504
  5. Step 5: Solve for x
    x = 101,993,966,795,947,197,333,504/260,760,384,000.26
  6. Step 6: Final answer
    x = 391,140,576,000.40

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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.