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Finding the Fourth Proportional to 277,471,796.80, 416,207,695.20 and 174,903,246.40

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Solution

The fourth proportional to 277,471,796.80, 416,207,695.20 and 174,903,246.40 is: 262,354,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,471,796.80 : 416,207,695.20 = 174,903,246.40 : x
  2. Step 2: Convert to fraction form
    277,471,796.80/416,207,695.20 = 174,903,246.40/x
  3. Step 3: Cross multiply
    277,471,796.80x = 416,207,695.20 × 174,903,246.40
  4. Step 4: Simplify right side
    277,471,796.80x = 72,796,077,067,141,696
  5. Step 5: Solve for x
    x = 72,796,077,067,141,696/277,471,796.80
  6. Step 6: Final answer
    x = 262,354,869.60

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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.