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Finding the Fourth Proportional to 535,992,406.20, 802,287,998.10 and 535,992,406.20

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Solution

The fourth proportional to 535,992,406.20, 802,287,998.10 and 535,992,406.20 is: 802,287,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,992,406.20 : 802,287,998.10 = 535,992,406.20 : x
  2. Step 2: Convert to fraction form
    535,992,406.20/802,287,998.10 = 535,992,406.20/x
  3. Step 3: Cross multiply
    535,992,406.20x = 802,287,998.10 × 535,992,406.20
  4. Step 4: Simplify right side
    535,992,406.20x = 430,020,274,567,000,000
  5. Step 5: Solve for x
    x = 430,020,274,567,000,000/535,992,406.20
  6. Step 6: Final answer
    x = 802,287,998.10

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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.