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Finding the Fourth Proportional to 20,190,384,005.45, 30,285,576,008.17 and 20,190,384,005.45

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Solution

The fourth proportional to 20,190,384,005.45, 30,285,576,008.17 and 20,190,384,005.45 is: 30,285,576,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190,384,005.45 : 30,285,576,008.17 = 20,190,384,005.45 : x
  2. Step 2: Convert to fraction form
    20,190,384,005.45/30,285,576,008.17 = 20,190,384,005.45/x
  3. Step 3: Cross multiply
    20,190,384,005.45x = 30,285,576,008.17 × 20,190,384,005.45
  4. Step 4: Simplify right side
    20,190,384,005.45x = 611,477,409,431,195,877,376
  5. Step 5: Solve for x
    x = 611,477,409,431,195,877,376/20,190,384,005.45
  6. Step 6: Final answer
    x = 30,285,576,008.17

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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.