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Finding the Fourth Proportional to 325,971,648, 449,904,775.68 and 186,835,665.60

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Solution

The fourth proportional to 325,971,648, 449,904,775.68 and 186,835,665.60 is: 257,869,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,971,648 : 449,904,775.68 = 186,835,665.60 : x
  2. Step 2: Convert to fraction form
    325,971,648/449,904,775.68 = 186,835,665.60/x
  3. Step 3: Cross multiply
    325,971,648x = 449,904,775.68 × 186,835,665.60
  4. Step 4: Simplify right side
    325,971,648x = 84,058,258,220,791,488
  5. Step 5: Solve for x
    x = 84,058,258,220,791,488/325,971,648
  6. Step 6: Final answer
    x = 257,869,844.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.