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Finding the Fourth Proportional to 1,324,600,125.51, 1,827,865,797.09 and 729,851,327.11

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Solution

The fourth proportional to 1,324,600,125.51, 1,827,865,797.09 and 729,851,327.11 is: 1,007,149,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,600,125.51 : 1,827,865,797.09 = 729,851,327.11 : x
  2. Step 2: Convert to fraction form
    1,324,600,125.51/1,827,865,797.09 = 729,851,327.11/x
  3. Step 3: Cross multiply
    1,324,600,125.51x = 1,827,865,797.09 × 729,851,327.11
  4. Step 4: Simplify right side
    1,324,600,125.51x = 1,334,070,277,785,114,368
  5. Step 5: Solve for x
    x = 1,334,070,277,785,114,368/1,324,600,125.51
  6. Step 6: Final answer
    x = 1,007,149,442.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.