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Finding the Fourth Proportional to 72,792,116,676.83, 109,188,175,015.24 and 72,792,116,676.83

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Solution

The fourth proportional to 72,792,116,676.83, 109,188,175,015.24 and 72,792,116,676.83 is: 109,188,175,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,792,116,676.83 : 109,188,175,015.24 = 72,792,116,676.83 : x
  2. Step 2: Convert to fraction form
    72,792,116,676.83/109,188,175,015.24 = 72,792,116,676.83/x
  3. Step 3: Cross multiply
    72,792,116,676.83x = 109,188,175,015.24 × 72,792,116,676.83
  4. Step 4: Simplify right side
    72,792,116,676.83x = 7,948,038,375,438,938,013,696
  5. Step 5: Solve for x
    x = 7,948,038,375,438,938,013,696/72,792,116,676.83
  6. Step 6: Final answer
    x = 109,188,175,015.24

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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.