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Finding the Fourth Proportional to 314,891,668.40, 472,337,502.60 and 200,383,847.60

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Solution

The fourth proportional to 314,891,668.40, 472,337,502.60 and 200,383,847.60 is: 300,575,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,891,668.40 : 472,337,502.60 = 200,383,847.60 : x
  2. Step 2: Convert to fraction form
    314,891,668.40/472,337,502.60 = 200,383,847.60/x
  3. Step 3: Cross multiply
    314,891,668.40x = 472,337,502.60 × 200,383,847.60
  4. Step 4: Simplify right side
    314,891,668.40x = 94,648,806,136,763,008
  5. Step 5: Solve for x
    x = 94,648,806,136,763,008/314,891,668.40
  6. Step 6: Final answer
    x = 300,575,771.40

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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.