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Finding the Fourth Proportional to 419,486,688,326.35, 629,230,032,489.50 and 419,486,688,326.35

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Solution

The fourth proportional to 419,486,688,326.35, 629,230,032,489.50 and 419,486,688,326.35 is: 629,230,032,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,486,688,326.35 : 629,230,032,489.50 = 419,486,688,326.35 : x
  2. Step 2: Convert to fraction form
    419,486,688,326.35/629,230,032,489.50 = 419,486,688,326.35/x
  3. Step 3: Cross multiply
    419,486,688,326.35x = 629,230,032,489.50 × 419,486,688,326.35
  4. Step 4: Simplify right side
    419,486,688,326.35x = 263,953,622,524,501,944,172,544
  5. Step 5: Solve for x
    x = 263,953,622,524,501,944,172,544/419,486,688,326.35
  6. Step 6: Final answer
    x = 629,230,032,489.50

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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.