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Finding the Fourth Proportional to 485,516,268.80, 728,274,403.20 and 429,396,099.20

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Solution

The fourth proportional to 485,516,268.80, 728,274,403.20 and 429,396,099.20 is: 644,094,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,516,268.80 : 728,274,403.20 = 429,396,099.20 : x
  2. Step 2: Convert to fraction form
    485,516,268.80/728,274,403.20 = 429,396,099.20/x
  3. Step 3: Cross multiply
    485,516,268.80x = 728,274,403.20 × 429,396,099.20
  4. Step 4: Simplify right side
    485,516,268.80x = 312,718,187,881,288,000
  5. Step 5: Solve for x
    x = 312,718,187,881,288,000/485,516,268.80
  6. Step 6: Final answer
    x = 644,094,148.80

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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.