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Finding the Fourth Proportional to 313,661,668.40, 470,492,502.60 and 199,153,847.60

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Solution

The fourth proportional to 313,661,668.40, 470,492,502.60 and 199,153,847.60 is: 298,730,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,661,668.40 : 470,492,502.60 = 199,153,847.60 : x
  2. Step 2: Convert to fraction form
    313,661,668.40/470,492,502.60 = 199,153,847.60/x
  3. Step 3: Cross multiply
    313,661,668.40x = 470,492,502.60 × 199,153,847.60
  4. Step 4: Simplify right side
    313,661,668.40x = 93,700,392,159,743,008
  5. Step 5: Solve for x
    x = 93,700,392,159,743,008/313,661,668.40
  6. Step 6: Final answer
    x = 298,730,771.40

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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.