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Finding the Fourth Proportional to 299,230,531.40, 449,129,232.30 and 184,439,275.40

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Solution

The fourth proportional to 299,230,531.40, 449,129,232.30 and 184,439,275.40 is: 276,833,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,230,531.40 : 449,129,232.30 = 184,439,275.40 : x
  2. Step 2: Convert to fraction form
    299,230,531.40/449,129,232.30 = 184,439,275.40/x
  3. Step 3: Cross multiply
    299,230,531.40x = 449,129,232.30 × 184,439,275.40
  4. Step 4: Simplify right side
    299,230,531.40x = 82,837,070,166,370,288
  5. Step 5: Solve for x
    x = 82,837,070,166,370,288/299,230,531.40
  6. Step 6: Final answer
    x = 276,833,616.47

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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.