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Finding the Fourth Proportional to 422,968,652.85, 634,194,286.32 and 201,707,666.17

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Solution

The fourth proportional to 422,968,652.85, 634,194,286.32 and 201,707,666.17 is: 302,438,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,968,652.85 : 634,194,286.32 = 201,707,666.17 : x
  2. Step 2: Convert to fraction form
    422,968,652.85/634,194,286.32 = 201,707,666.17/x
  3. Step 3: Cross multiply
    422,968,652.85x = 634,194,286.32 × 201,707,666.17
  4. Step 4: Simplify right side
    422,968,652.85x = 127,921,849,391,126,880
  5. Step 5: Solve for x
    x = 127,921,849,391,126,880/422,968,652.85
  6. Step 6: Final answer
    x = 302,438,132.30

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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.