Home / 1,023,576,709,678.30-1,412,580,261,376.20-566,835,193,650.40

Finding the Fourth Proportional to 1,023,576,709,678.30, 1,412,580,261,376.20 and 566,835,193,650.40

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Solution

The fourth proportional to 1,023,576,709,678.30, 1,412,580,261,376.20 and 566,835,193,650.40 is: 782,257,156,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,576,709,678.30 : 1,412,580,261,376.20 = 566,835,193,650.40 : x
  2. Step 2: Convert to fraction form
    1,023,576,709,678.30/1,412,580,261,376.20 = 566,835,193,650.40/x
  3. Step 3: Cross multiply
    1,023,576,709,678.30x = 1,412,580,261,376.20 × 566,835,193,650.40
  4. Step 4: Simplify right side
    1,023,576,709,678.30x = 800,700,206,003,910,950,780,928
  5. Step 5: Solve for x
    x = 800,700,206,003,910,950,780,928/1,023,576,709,678.30
  6. Step 6: Final answer
    x = 782,257,156,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.