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Finding the Fourth Proportional to 291,255,832.02, 401,934,418.11 and 159,098,662.02

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Solution

The fourth proportional to 291,255,832.02, 401,934,418.11 and 159,098,662.02 is: 219,556,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,255,832.02 : 401,934,418.11 = 159,098,662.02 : x
  2. Step 2: Convert to fraction form
    291,255,832.02/401,934,418.11 = 159,098,662.02/x
  3. Step 3: Cross multiply
    291,255,832.02x = 401,934,418.11 × 159,098,662.02
  4. Step 4: Simplify right side
    291,255,832.02x = 63,947,228,141,088,264
  5. Step 5: Solve for x
    x = 63,947,228,141,088,264/291,255,832.02
  6. Step 6: Final answer
    x = 219,556,901.91

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