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Finding the Fourth Proportional to 542,829,811.10, 814,244,716.65 and 542,829,811.10

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Solution

The fourth proportional to 542,829,811.10, 814,244,716.65 and 542,829,811.10 is: 814,244,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,829,811.10 : 814,244,716.65 = 542,829,811.10 : x
  2. Step 2: Convert to fraction form
    542,829,811.10/814,244,716.65 = 542,829,811.10/x
  3. Step 3: Cross multiply
    542,829,811.10x = 814,244,716.65 × 542,829,811.10
  4. Step 4: Simplify right side
    542,829,811.10x = 441,996,305,728,292,544
  5. Step 5: Solve for x
    x = 441,996,305,728,292,544/542,829,811.10
  6. Step 6: Final answer
    x = 814,244,716.65

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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.