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Finding the Fourth Proportional to 492,361,164.80, 738,608,102.40 and 169,344,051.20

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Solution

The fourth proportional to 492,361,164.80, 738,608,102.40 and 169,344,051.20 is: 254,038,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,361,164.80 : 738,608,102.40 = 169,344,051.20 : x
  2. Step 2: Convert to fraction form
    492,361,164.80/738,608,102.40 = 169,344,051.20/x
  3. Step 3: Cross multiply
    492,361,164.80x = 738,608,102.40 × 169,344,051.20
  4. Step 4: Simplify right side
    492,361,164.80x = 125,078,888,309,560,432
  5. Step 5: Solve for x
    x = 125,078,888,309,560,432/492,361,164.80
  6. Step 6: Final answer
    x = 254,038,899.19

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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.