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Finding the Fourth Proportional to 314,930,692.40, 472,396,038.60 and 177,181,185.20

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Solution

The fourth proportional to 314,930,692.40, 472,396,038.60 and 177,181,185.20 is: 265,771,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,692.40 : 472,396,038.60 = 177,181,185.20 : x
  2. Step 2: Convert to fraction form
    314,930,692.40/472,396,038.60 = 177,181,185.20/x
  3. Step 3: Cross multiply
    314,930,692.40x = 472,396,038.60 × 177,181,185.20
  4. Step 4: Simplify right side
    314,930,692.40x = 83,699,690,002,932,944
  5. Step 5: Solve for x
    x = 83,699,690,002,932,944/314,930,692.40
  6. Step 6: Final answer
    x = 265,771,777.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.