Home / 1,023,576,709,675.80-1,412,580,261,372.80-566,835,193,647.90

Finding the Fourth Proportional to 1,023,576,709,675.80, 1,412,580,261,372.80 and 566,835,193,647.90

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Solution

The fourth proportional to 1,023,576,709,675.80, 1,412,580,261,372.80 and 566,835,193,647.90 is: 782,257,156,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,576,709,675.80 : 1,412,580,261,372.80 = 566,835,193,647.90 : x
  2. Step 2: Convert to fraction form
    1,023,576,709,675.80/1,412,580,261,372.80 = 566,835,193,647.90/x
  3. Step 3: Cross multiply
    1,023,576,709,675.80x = 1,412,580,261,372.80 × 566,835,193,647.90
  4. Step 4: Simplify right side
    1,023,576,709,675.80x = 800,700,205,998,452,315,783,168
  5. Step 5: Solve for x
    x = 800,700,205,998,452,315,783,168/1,023,576,709,675.80
  6. Step 6: Final answer
    x = 782,257,156,136.41

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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.