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Finding the Fourth Proportional to 291,165,509.43, 436,965,181.20 and 213,642,737.28

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Solution

The fourth proportional to 291,165,509.43, 436,965,181.20 and 213,642,737.28 is: 320,623,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,165,509.43 : 436,965,181.20 = 213,642,737.28 : x
  2. Step 2: Convert to fraction form
    291,165,509.43/436,965,181.20 = 213,642,737.28/x
  3. Step 3: Cross multiply
    291,165,509.43x = 436,965,181.20 × 213,642,737.28
  4. Step 4: Simplify right side
    291,165,509.43x = 93,354,437,407,619,200
  5. Step 5: Solve for x
    x = 93,354,437,407,619,200/291,165,509.43
  6. Step 6: Final answer
    x = 320,623,268.84

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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.