Home / 1,023,576,709,498.90-1,412,580,261,128.80-566,835,193,471.14

Finding the Fourth Proportional to 1,023,576,709,498.90, 1,412,580,261,128.80 and 566,835,193,471.14

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Solution

The fourth proportional to 1,023,576,709,498.90, 1,412,580,261,128.80 and 566,835,193,471.14 is: 782,257,155,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,576,709,498.90 : 1,412,580,261,128.80 = 566,835,193,471.14 : x
  2. Step 2: Convert to fraction form
    1,023,576,709,498.90/1,412,580,261,128.80 = 566,835,193,471.14/x
  3. Step 3: Cross multiply
    1,023,576,709,498.90x = 1,412,580,261,128.80 × 566,835,193,471.14
  4. Step 4: Simplify right side
    1,023,576,709,498.90x = 800,700,205,610,456,915,640,320
  5. Step 5: Solve for x
    x = 800,700,205,610,456,915,640,320/1,023,576,709,498.90
  6. Step 6: Final answer
    x = 782,257,155,892.54

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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.