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Finding the Fourth Proportional to 266,922,410.40, 400,383,615.60 and 209,591,517.60

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Solution

The fourth proportional to 266,922,410.40, 400,383,615.60 and 209,591,517.60 is: 314,387,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,922,410.40 : 400,383,615.60 = 209,591,517.60 : x
  2. Step 2: Convert to fraction form
    266,922,410.40/400,383,615.60 = 209,591,517.60/x
  3. Step 3: Cross multiply
    266,922,410.40x = 400,383,615.60 × 209,591,517.60
  4. Step 4: Simplify right side
    266,922,410.40x = 83,917,009,615,779,040
  5. Step 5: Solve for x
    x = 83,917,009,615,779,040/266,922,410.40
  6. Step 6: Final answer
    x = 314,387,276.40

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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.