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Finding the Fourth Proportional to 392,202,602.60, 588,303,903.90 and 133,709,700.20

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Solution

The fourth proportional to 392,202,602.60, 588,303,903.90 and 133,709,700.20 is: 200,564,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202,602.60 : 588,303,903.90 = 133,709,700.20 : x
  2. Step 2: Convert to fraction form
    392,202,602.60/588,303,903.90 = 133,709,700.20/x
  3. Step 3: Cross multiply
    392,202,602.60x = 588,303,903.90 × 133,709,700.20
  4. Step 4: Simplify right side
    392,202,602.60x = 78,661,938,616,958,608
  5. Step 5: Solve for x
    x = 78,661,938,616,958,608/392,202,602.60
  6. Step 6: Final answer
    x = 200,564,550.30

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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.