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Finding the Fourth Proportional to 393,662,719.20, 590,494,078.80 and 209,996,709.60

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Solution

The fourth proportional to 393,662,719.20, 590,494,078.80 and 209,996,709.60 is: 314,995,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,662,719.20 : 590,494,078.80 = 209,996,709.60 : x
  2. Step 2: Convert to fraction form
    393,662,719.20/590,494,078.80 = 209,996,709.60/x
  3. Step 3: Cross multiply
    393,662,719.20x = 590,494,078.80 × 209,996,709.60
  4. Step 4: Simplify right side
    393,662,719.20x = 124,001,813,586,283,104
  5. Step 5: Solve for x
    x = 124,001,813,586,283,104/393,662,719.20
  6. Step 6: Final answer
    x = 314,995,064.40

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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.