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Finding the Fourth Proportional to 536,016,503.20, 802,324,143.60 and 536,016,503.20

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Solution

The fourth proportional to 536,016,503.20, 802,324,143.60 and 536,016,503.20 is: 802,324,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,016,503.20 : 802,324,143.60 = 536,016,503.20 : x
  2. Step 2: Convert to fraction form
    536,016,503.20/802,324,143.60 = 536,016,503.20/x
  3. Step 3: Cross multiply
    536,016,503.20x = 802,324,143.60 × 536,016,503.20
  4. Step 4: Simplify right side
    536,016,503.20x = 430,058,981,885,406,656
  5. Step 5: Solve for x
    x = 430,058,981,885,406,656/536,016,503.20
  6. Step 6: Final answer
    x = 802,324,143.60

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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.