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Finding the Fourth Proportional to 293,504,472.40, 440,256,708.60 and 120,892,435.60

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Solution

The fourth proportional to 293,504,472.40, 440,256,708.60 and 120,892,435.60 is: 181,338,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,504,472.40 : 440,256,708.60 = 120,892,435.60 : x
  2. Step 2: Convert to fraction form
    293,504,472.40/440,256,708.60 = 120,892,435.60/x
  3. Step 3: Cross multiply
    293,504,472.40x = 440,256,708.60 × 120,892,435.60
  4. Step 4: Simplify right side
    293,504,472.40x = 53,223,705,791,893,464
  5. Step 5: Solve for x
    x = 53,223,705,791,893,464/293,504,472.40
  6. Step 6: Final answer
    x = 181,338,653.40

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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.