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Finding the Fourth Proportional to 274,374,053.64, 411,022,971.54 and 159,116,451.48

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Solution

The fourth proportional to 274,374,053.64, 411,022,971.54 and 159,116,451.48 is: 238,362,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,374,053.64 : 411,022,971.54 = 159,116,451.48 : x
  2. Step 2: Convert to fraction form
    274,374,053.64/411,022,971.54 = 159,116,451.48/x
  3. Step 3: Cross multiply
    274,374,053.64x = 411,022,971.54 × 159,116,451.48
  4. Step 4: Simplify right side
    274,374,053.64x = 65,400,516,708,209,832
  5. Step 5: Solve for x
    x = 65,400,516,708,209,832/274,374,053.64
  6. Step 6: Final answer
    x = 238,362,614.25

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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.