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Finding the Fourth Proportional to 2,040,792,916.40, 2,862,552,038.80 and 2,040,792,916.40

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Solution

The fourth proportional to 2,040,792,916.40, 2,862,552,038.80 and 2,040,792,916.40 is: 2,862,552,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,792,916.40 : 2,862,552,038.80 = 2,040,792,916.40 : x
  2. Step 2: Convert to fraction form
    2,040,792,916.40/2,862,552,038.80 = 2,040,792,916.40/x
  3. Step 3: Cross multiply
    2,040,792,916.40x = 2,862,552,038.80 × 2,040,792,916.40
  4. Step 4: Simplify right side
    2,040,792,916.40x = 5,841,875,923,609,418,752
  5. Step 5: Solve for x
    x = 5,841,875,923,609,418,752/2,040,792,916.40
  6. Step 6: Final answer
    x = 2,862,552,038.80

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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.