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Finding the Fourth Proportional to 2,017,471,824,938.20, 3,026,207,737,407.20 and 2,017,471,824,938.20

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Solution

The fourth proportional to 2,017,471,824,938.20, 3,026,207,737,407.20 and 2,017,471,824,938.20 is: 3,026,207,737,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017,471,824,938.20 : 3,026,207,737,407.20 = 2,017,471,824,938.20 : x
  2. Step 2: Convert to fraction form
    2,017,471,824,938.20/3,026,207,737,407.20 = 2,017,471,824,938.20/x
  3. Step 3: Cross multiply
    2,017,471,824,938.20x = 3,026,207,737,407.20 × 2,017,471,824,938.20
  4. Step 4: Simplify right side
    2,017,471,824,938.20x = 6,105,288,846,629,004,703,170,560
  5. Step 5: Solve for x
    x = 6,105,288,846,629,004,703,170,560/2,017,471,824,938.20
  6. Step 6: Final answer
    x = 3,026,207,737,407.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.