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Finding the Fourth Proportional to 680,804,557,006.78, 1,021,206,835,510.20 and 680,804,557,006.78

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Solution

The fourth proportional to 680,804,557,006.78, 1,021,206,835,510.20 and 680,804,557,006.78 is: 1,021,206,835,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,804,557,006.78 : 1,021,206,835,510.20 = 680,804,557,006.78 : x
  2. Step 2: Convert to fraction form
    680,804,557,006.78/1,021,206,835,510.20 = 680,804,557,006.78/x
  3. Step 3: Cross multiply
    680,804,557,006.78x = 1,021,206,835,510.20 × 680,804,557,006.78
  4. Step 4: Simplify right side
    680,804,557,006.78x = 695,242,267,261,817,382,240,256
  5. Step 5: Solve for x
    x = 695,242,267,261,817,382,240,256/680,804,557,006.78
  6. Step 6: Final answer
    x = 1,021,206,835,510.20

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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.