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Finding the Fourth Proportional to 419,796,864,998.40, 629,695,297,497.60 and 419,796,864,998.40

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Solution

The fourth proportional to 419,796,864,998.40, 629,695,297,497.60 and 419,796,864,998.40 is: 629,695,297,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796,864,998.40 : 629,695,297,497.60 = 419,796,864,998.40 : x
  2. Step 2: Convert to fraction form
    419,796,864,998.40/629,695,297,497.60 = 419,796,864,998.40/x
  3. Step 3: Cross multiply
    419,796,864,998.40x = 629,695,297,497.60 × 419,796,864,998.40
  4. Step 4: Simplify right side
    419,796,864,998.40x = 264,344,111,793,727,313,281,024
  5. Step 5: Solve for x
    x = 264,344,111,793,727,313,281,024/419,796,864,998.40
  6. Step 6: Final answer
    x = 629,695,297,497.60

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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.