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Finding the Fourth Proportional to 408,851,305.40, 613,053,009.30 and 166,240,105.40

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Solution

The fourth proportional to 408,851,305.40, 613,053,009.30 and 166,240,105.40 is: 249,269,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,851,305.40 : 613,053,009.30 = 166,240,105.40 : x
  2. Step 2: Convert to fraction form
    408,851,305.40/613,053,009.30 = 166,240,105.40/x
  3. Step 3: Cross multiply
    408,851,305.40x = 613,053,009.30 × 166,240,105.40
  4. Step 4: Simplify right side
    408,851,305.40x = 101,913,996,881,819,168
  5. Step 5: Solve for x
    x = 101,913,996,881,819,168/408,851,305.40
  6. Step 6: Final answer
    x = 249,269,099.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.