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Finding the Fourth Proportional to 470,062,027.80, 705,093,041.70 and 422,444,914.20

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Solution

The fourth proportional to 470,062,027.80, 705,093,041.70 and 422,444,914.20 is: 633,667,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,062,027.80 : 705,093,041.70 = 422,444,914.20 : x
  2. Step 2: Convert to fraction form
    470,062,027.80/705,093,041.70 = 422,444,914.20/x
  3. Step 3: Cross multiply
    470,062,027.80x = 705,093,041.70 × 422,444,914.20
  4. Step 4: Simplify right side
    470,062,027.80x = 297,862,969,503,973,504
  5. Step 5: Solve for x
    x = 297,862,969,503,973,504/470,062,027.80
  6. Step 6: Final answer
    x = 633,667,371.30

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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.