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Finding the Fourth Proportional to 260,760,384,042.67, 391,140,576,064.01 and 260,760,384,042.67

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Solution

The fourth proportional to 260,760,384,042.67, 391,140,576,064.01 and 260,760,384,042.67 is: 391,140,576,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,042.67 : 391,140,576,064.01 = 260,760,384,042.67 : x
  2. Step 2: Convert to fraction form
    260,760,384,042.67/391,140,576,064.01 = 260,760,384,042.67/x
  3. Step 3: Cross multiply
    260,760,384,042.67x = 391,140,576,064.01 × 260,760,384,042.67
  4. Step 4: Simplify right side
    260,760,384,042.67x = 101,993,966,829,122,430,697,472
  5. Step 5: Solve for x
    x = 101,993,966,829,122,430,697,472/260,760,384,042.67
  6. Step 6: Final answer
    x = 391,140,576,064.01

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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.