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Finding the Fourth Proportional to 427,318,411.80, 640,977,617.70 and 422,783,448.60

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Solution

The fourth proportional to 427,318,411.80, 640,977,617.70 and 422,783,448.60 is: 634,175,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,318,411.80 : 640,977,617.70 = 422,783,448.60 : x
  2. Step 2: Convert to fraction form
    427,318,411.80/640,977,617.70 = 422,783,448.60/x
  3. Step 3: Cross multiply
    427,318,411.80x = 640,977,617.70 × 422,783,448.60
  4. Step 4: Simplify right side
    427,318,411.80x = 270,994,727,686,618,432
  5. Step 5: Solve for x
    x = 270,994,727,686,618,432/427,318,411.80
  6. Step 6: Final answer
    x = 634,175,172.90

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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.