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Finding the Fourth Proportional to 542,923,645.60, 814,385,468.40 and 503,508,656.80

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Solution

The fourth proportional to 542,923,645.60, 814,385,468.40 and 503,508,656.80 is: 755,262,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,923,645.60 : 814,385,468.40 = 503,508,656.80 : x
  2. Step 2: Convert to fraction form
    542,923,645.60/814,385,468.40 = 503,508,656.80/x
  3. Step 3: Cross multiply
    542,923,645.60x = 814,385,468.40 × 503,508,656.80
  4. Step 4: Simplify right side
    542,923,645.60x = 410,050,133,311,522,816
  5. Step 5: Solve for x
    x = 410,050,133,311,522,816/542,923,645.60
  6. Step 6: Final answer
    x = 755,262,985.20

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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.