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Finding the Fourth Proportional to 260,760,384,015.80, 391,140,576,023.70 and 260,760,384,015.80

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Solution

The fourth proportional to 260,760,384,015.80, 391,140,576,023.70 and 260,760,384,015.80 is: 391,140,576,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,015.80 : 391,140,576,023.70 = 260,760,384,015.80 : x
  2. Step 2: Convert to fraction form
    260,760,384,015.80/391,140,576,023.70 = 260,760,384,015.80/x
  3. Step 3: Cross multiply
    260,760,384,015.80x = 391,140,576,023.70 × 260,760,384,015.80
  4. Step 4: Simplify right side
    260,760,384,015.80x = 101,993,966,808,101,216,583,680
  5. Step 5: Solve for x
    x = 101,993,966,808,101,216,583,680/260,760,384,015.80
  6. Step 6: Final answer
    x = 391,140,576,023.70

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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.