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Finding the Fourth Proportional to 2,040,792,922.40, 2,862,552,047.20 and 2,040,792,922.40

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Solution

The fourth proportional to 2,040,792,922.40, 2,862,552,047.20 and 2,040,792,922.40 is: 2,862,552,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,792,922.40 : 2,862,552,047.20 = 2,040,792,922.40 : x
  2. Step 2: Convert to fraction form
    2,040,792,922.40/2,862,552,047.20 = 2,040,792,922.40/x
  3. Step 3: Cross multiply
    2,040,792,922.40x = 2,862,552,047.20 × 2,040,792,922.40
  4. Step 4: Simplify right side
    2,040,792,922.40x = 5,841,875,957,927,390,208
  5. Step 5: Solve for x
    x = 5,841,875,957,927,390,208/2,040,792,922.40
  6. Step 6: Final answer
    x = 2,862,552,047.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.