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Finding the Fourth Proportional to 2,472,396,804,561.50, 3,708,595,206,842.50 and 2,472,396,804,561.50

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Solution

The fourth proportional to 2,472,396,804,561.50, 3,708,595,206,842.50 and 2,472,396,804,561.50 is: 3,708,595,206,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,396,804,561.50 : 3,708,595,206,842.50 = 2,472,396,804,561.50 : x
  2. Step 2: Convert to fraction form
    2,472,396,804,561.50/3,708,595,206,842.50 = 2,472,396,804,561.50/x
  3. Step 3: Cross multiply
    2,472,396,804,561.50x = 3,708,595,206,842.50 × 2,472,396,804,561.50
  4. Step 4: Simplify right side
    2,472,396,804,561.50x = 9,169,118,938,809,491,678,822,400
  5. Step 5: Solve for x
    x = 9,169,118,938,809,491,678,822,400/2,472,396,804,561.50
  6. Step 6: Final answer
    x = 3,708,595,206,842.50

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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.