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Finding the Fourth Proportional to 2,472,396,804,565, 3,708,595,206,847.50 and 2,472,396,804,565

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Solution

The fourth proportional to 2,472,396,804,565, 3,708,595,206,847.50 and 2,472,396,804,565 is: 3,708,595,206,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,396,804,565 : 3,708,595,206,847.50 = 2,472,396,804,565 : x
  2. Step 2: Convert to fraction form
    2,472,396,804,565/3,708,595,206,847.50 = 2,472,396,804,565/x
  3. Step 3: Cross multiply
    2,472,396,804,565x = 3,708,595,206,847.50 × 2,472,396,804,565
  4. Step 4: Simplify right side
    2,472,396,804,565x = 9,169,118,938,834,834,133,352,448
  5. Step 5: Solve for x
    x = 9,169,118,938,834,834,133,352,448/2,472,396,804,565
  6. Step 6: Final answer
    x = 3,708,595,206,847.50

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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.