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Finding the Fourth Proportional to 21,102,022.15, 29,610,015.65 and 21,102,022.15

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Solution

The fourth proportional to 21,102,022.15, 29,610,015.65 and 21,102,022.15 is: 29,610,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102,022.15 : 29,610,015.65 = 21,102,022.15 : x
  2. Step 2: Convert to fraction form
    21,102,022.15/29,610,015.65 = 21,102,022.15/x
  3. Step 3: Cross multiply
    21,102,022.15x = 29,610,015.65 × 21,102,022.15
  4. Step 4: Simplify right side
    21,102,022.15x = 624,831,206,108,146.62
  5. Step 5: Solve for x
    x = 624,831,206,108,146.62/21,102,022.15
  6. Step 6: Final answer
    x = 29,610,015.65

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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.