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Finding the Fourth Proportional to 419,832,576,015.15, 629,748,864,022.70 and 419,832,576,015.15

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Solution

The fourth proportional to 419,832,576,015.15, 629,748,864,022.70 and 419,832,576,015.15 is: 629,748,864,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832,576,015.15 : 629,748,864,022.70 = 419,832,576,015.15 : x
  2. Step 2: Convert to fraction form
    419,832,576,015.15/629,748,864,022.70 = 419,832,576,015.15/x
  3. Step 3: Cross multiply
    419,832,576,015.15x = 629,748,864,022.70 × 419,832,576,015.15
  4. Step 4: Simplify right side
    419,832,576,015.15x = 264,389,087,825,264,554,016,768
  5. Step 5: Solve for x
    x = 264,389,087,825,264,554,016,768/419,832,576,015.15
  6. Step 6: Final answer
    x = 629,748,864,022.70

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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.