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Finding the Fourth Proportional to 200,302,609.60, 300,453,914.40 and 148,646,544.40

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Solution

The fourth proportional to 200,302,609.60, 300,453,914.40 and 148,646,544.40 is: 222,969,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,302,609.60 : 300,453,914.40 = 148,646,544.40 : x
  2. Step 2: Convert to fraction form
    200,302,609.60/300,453,914.40 = 148,646,544.40/x
  3. Step 3: Cross multiply
    200,302,609.60x = 300,453,914.40 × 148,646,544.40
  4. Step 4: Simplify right side
    200,302,609.60x = 44,661,436,127,013,400
  5. Step 5: Solve for x
    x = 44,661,436,127,013,400/200,302,609.60
  6. Step 6: Final answer
    x = 222,969,816.60

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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.