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Finding the Fourth Proportional to 680,804,557,011.28, 1,021,206,835,517 and 680,804,557,011.28

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Solution

The fourth proportional to 680,804,557,011.28, 1,021,206,835,517 and 680,804,557,011.28 is: 1,021,206,835,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,804,557,011.28 : 1,021,206,835,517 = 680,804,557,011.28 : x
  2. Step 2: Convert to fraction form
    680,804,557,011.28/1,021,206,835,517 = 680,804,557,011.28/x
  3. Step 3: Cross multiply
    680,804,557,011.28x = 1,021,206,835,517 × 680,804,557,011.28
  4. Step 4: Simplify right side
    680,804,557,011.28x = 695,242,267,271,042,300,903,424
  5. Step 5: Solve for x
    x = 695,242,267,271,042,300,903,424/680,804,557,011.28
  6. Step 6: Final answer
    x = 1,021,206,835,517

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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.