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Finding the Fourth Proportional to 816,919,515.92, 1,219,007,774.48 and 728,875,796.48

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Solution

The fourth proportional to 816,919,515.92, 1,219,007,774.48 and 728,875,796.48 is: 1,087,628,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,919,515.92 : 1,219,007,774.48 = 728,875,796.48 : x
  2. Step 2: Convert to fraction form
    816,919,515.92/1,219,007,774.48 = 728,875,796.48/x
  3. Step 3: Cross multiply
    816,919,515.92x = 1,219,007,774.48 × 728,875,796.48
  4. Step 4: Simplify right side
    816,919,515.92x = 888,505,262,539,422,208
  5. Step 5: Solve for x
    x = 888,505,262,539,422,208/816,919,515.92
  6. Step 6: Final answer
    x = 1,087,628,885.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.