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Finding the Fourth Proportional to 419,486,688,331.85, 629,230,032,497.80 and 419,486,688,331.85

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Solution

The fourth proportional to 419,486,688,331.85, 629,230,032,497.80 and 419,486,688,331.85 is: 629,230,032,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,486,688,331.85 : 629,230,032,497.80 = 419,486,688,331.85 : x
  2. Step 2: Convert to fraction form
    419,486,688,331.85/629,230,032,497.80 = 419,486,688,331.85/x
  3. Step 3: Cross multiply
    419,486,688,331.85x = 629,230,032,497.80 × 419,486,688,331.85
  4. Step 4: Simplify right side
    419,486,688,331.85x = 263,953,622,531,444,490,371,072
  5. Step 5: Solve for x
    x = 263,953,622,531,444,490,371,072/419,486,688,331.85
  6. Step 6: Final answer
    x = 629,230,032,497.80

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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.