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Finding the Fourth Proportional to 680,804,557,004.70, 1,021,206,835,507.10 and 680,804,557,004.70

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Solution

The fourth proportional to 680,804,557,004.70, 1,021,206,835,507.10 and 680,804,557,004.70 is: 1,021,206,835,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,804,557,004.70 : 1,021,206,835,507.10 = 680,804,557,004.70 : x
  2. Step 2: Convert to fraction form
    680,804,557,004.70/1,021,206,835,507.10 = 680,804,557,004.70/x
  3. Step 3: Cross multiply
    680,804,557,004.70x = 1,021,206,835,507.10 × 680,804,557,004.70
  4. Step 4: Simplify right side
    680,804,557,004.70x = 695,242,267,257,582,678,704,128
  5. Step 5: Solve for x
    x = 695,242,267,257,582,678,704,128/680,804,557,004.70
  6. Step 6: Final answer
    x = 1,021,206,835,507.10

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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.