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Finding the Fourth Proportional to 360,652,207,358.22, 540,978,000,209.95 and 92,041,165,948.20

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Solution

The fourth proportional to 360,652,207,358.22, 540,978,000,209.95 and 92,041,165,948.20 is: 138,061,669,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,652,207,358.22 : 540,978,000,209.95 = 92,041,165,948.20 : x
  2. Step 2: Convert to fraction form
    360,652,207,358.22/540,978,000,209.95 = 92,041,165,948.20/x
  3. Step 3: Cross multiply
    360,652,207,358.22x = 540,978,000,209.95 × 92,041,165,948.20
  4. Step 4: Simplify right side
    360,652,207,358.22x = 49,792,245,891,649,379,500,032
  5. Step 5: Solve for x
    x = 49,792,245,891,649,379,500,032/360,652,207,358.22
  6. Step 6: Final answer
    x = 138,061,669,596.81

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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.