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Finding the Fourth Proportional to 313,446,646.40, 470,169,969.60 and 227,002,409.60

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Solution

The fourth proportional to 313,446,646.40, 470,169,969.60 and 227,002,409.60 is: 340,503,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,446,646.40 : 470,169,969.60 = 227,002,409.60 : x
  2. Step 2: Convert to fraction form
    313,446,646.40/470,169,969.60 = 227,002,409.60/x
  3. Step 3: Cross multiply
    313,446,646.40x = 470,169,969.60 × 227,002,409.60
  4. Step 4: Simplify right side
    313,446,646.40x = 106,729,716,020,758,752
  5. Step 5: Solve for x
    x = 106,729,716,020,758,752/313,446,646.40
  6. Step 6: Final answer
    x = 340,503,614.40

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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.