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Finding the Fourth Proportional to 419,904,533.10, 588,471,008.10 and 419,904,533.10

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Solution

The fourth proportional to 419,904,533.10, 588,471,008.10 and 419,904,533.10 is: 588,471,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,533.10 : 588,471,008.10 = 419,904,533.10 : x
  2. Step 2: Convert to fraction form
    419,904,533.10/588,471,008.10 = 419,904,533.10/x
  3. Step 3: Cross multiply
    419,904,533.10x = 588,471,008.10 × 419,904,533.10
  4. Step 4: Simplify right side
    419,904,533.10x = 247,101,643,899,116,832
  5. Step 5: Solve for x
    x = 247,101,643,899,116,832/419,904,533.10
  6. Step 6: Final answer
    x = 588,471,008.10

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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.