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Finding the Fourth Proportional to 2,472,396,804,546, 3,708,595,206,819 and 2,472,396,804,546

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Solution

The fourth proportional to 2,472,396,804,546, 3,708,595,206,819 and 2,472,396,804,546 is: 3,708,595,206,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,396,804,546 : 3,708,595,206,819 = 2,472,396,804,546 : x
  2. Step 2: Convert to fraction form
    2,472,396,804,546/3,708,595,206,819 = 2,472,396,804,546/x
  3. Step 3: Cross multiply
    2,472,396,804,546x = 3,708,595,206,819 × 2,472,396,804,546
  4. Step 4: Simplify right side
    2,472,396,804,546x = 9,169,118,938,693,907,666,436,096
  5. Step 5: Solve for x
    x = 9,169,118,938,693,907,666,436,096/2,472,396,804,546
  6. Step 6: Final answer
    x = 3,708,595,206,819

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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.