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Finding the Fourth Proportional to 75,829,512.30, 113,744,268.45 and 75,829,512.30

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Solution

The fourth proportional to 75,829,512.30, 113,744,268.45 and 75,829,512.30 is: 113,744,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829,512.30 : 113,744,268.45 = 75,829,512.30 : x
  2. Step 2: Convert to fraction form
    75,829,512.30/113,744,268.45 = 75,829,512.30/x
  3. Step 3: Cross multiply
    75,829,512.30x = 113,744,268.45 × 75,829,512.30
  4. Step 4: Simplify right side
    75,829,512.30x = 8,625,172,403,483,777
  5. Step 5: Solve for x
    x = 8,625,172,403,483,777/75,829,512.30
  6. Step 6: Final answer
    x = 113,744,268.45

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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.