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Finding the Fourth Proportional to 419,796,979,477.40, 629,695,469,216.08 and 419,796,979,477.40

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Solution

The fourth proportional to 419,796,979,477.40, 629,695,469,216.08 and 419,796,979,477.40 is: 629,695,469,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796,979,477.40 : 629,695,469,216.08 = 419,796,979,477.40 : x
  2. Step 2: Convert to fraction form
    419,796,979,477.40/629,695,469,216.08 = 419,796,979,477.40/x
  3. Step 3: Cross multiply
    419,796,979,477.40x = 629,695,469,216.08 × 419,796,979,477.40
  4. Step 4: Simplify right side
    419,796,979,477.40x = 264,344,255,967,514,480,082,944
  5. Step 5: Solve for x
    x = 264,344,255,967,514,480,082,944/419,796,979,477.40
  6. Step 6: Final answer
    x = 629,695,469,216.08

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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.