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Finding the Fourth Proportional to 265,734,019.80, 398,601,029.70 and 149,029,576.20

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Solution

The fourth proportional to 265,734,019.80, 398,601,029.70 and 149,029,576.20 is: 223,544,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734,019.80 : 398,601,029.70 = 149,029,576.20 : x
  2. Step 2: Convert to fraction form
    265,734,019.80/398,601,029.70 = 149,029,576.20/x
  3. Step 3: Cross multiply
    265,734,019.80x = 398,601,029.70 × 149,029,576.20
  4. Step 4: Simplify right side
    265,734,019.80x = 59,403,342,529,074,608
  5. Step 5: Solve for x
    x = 59,403,342,529,074,608/265,734,019.80
  6. Step 6: Final answer
    x = 223,544,364.30

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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.