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Finding the Fourth Proportional to 2,472,396,804,561, 3,708,595,206,841.40 and 2,472,396,804,561

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Solution

The fourth proportional to 2,472,396,804,561, 3,708,595,206,841.40 and 2,472,396,804,561 is: 3,708,595,206,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,396,804,561 : 3,708,595,206,841.40 = 2,472,396,804,561 : x
  2. Step 2: Convert to fraction form
    2,472,396,804,561/3,708,595,206,841.40 = 2,472,396,804,561/x
  3. Step 3: Cross multiply
    2,472,396,804,561x = 3,708,595,206,841.40 × 2,472,396,804,561
  4. Step 4: Simplify right side
    2,472,396,804,561x = 9,169,118,938,804,917,538,652,160
  5. Step 5: Solve for x
    x = 9,169,118,938,804,917,538,652,160/2,472,396,804,561
  6. Step 6: Final answer
    x = 3,708,595,206,841.40

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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.