Home / 1,023,576,709,681.40-1,412,580,261,380.30-566,835,193,653.40

Finding the Fourth Proportional to 1,023,576,709,681.40, 1,412,580,261,380.30 and 566,835,193,653.40

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Solution

The fourth proportional to 1,023,576,709,681.40, 1,412,580,261,380.30 and 566,835,193,653.40 is: 782,257,156,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,576,709,681.40 : 1,412,580,261,380.30 = 566,835,193,653.40 : x
  2. Step 2: Convert to fraction form
    1,023,576,709,681.40/1,412,580,261,380.30 = 566,835,193,653.40/x
  3. Step 3: Cross multiply
    1,023,576,709,681.40x = 1,412,580,261,380.30 × 566,835,193,653.40
  4. Step 4: Simplify right side
    1,023,576,709,681.40x = 800,700,206,010,472,855,502,848
  5. Step 5: Solve for x
    x = 800,700,206,010,472,855,502,848/1,023,576,709,681.40
  6. Step 6: Final answer
    x = 782,257,156,143.87

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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.