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Finding the Fourth Proportional to 271,808,821.60, 407,713,232.40 and 169,887,234.40

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Solution

The fourth proportional to 271,808,821.60, 407,713,232.40 and 169,887,234.40 is: 254,830,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808,821.60 : 407,713,232.40 = 169,887,234.40 : x
  2. Step 2: Convert to fraction form
    271,808,821.60/407,713,232.40 = 169,887,234.40/x
  3. Step 3: Cross multiply
    271,808,821.60x = 407,713,232.40 × 169,887,234.40
  4. Step 4: Simplify right side
    271,808,821.60x = 69,265,273,480,720,472
  5. Step 5: Solve for x
    x = 69,265,273,480,720,472/271,808,821.60
  6. Step 6: Final answer
    x = 254,830,851.60

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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.