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Finding the Fourth Proportional to 472,405,691.80, 708,608,537.70 and 407,782,466.20

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Solution

The fourth proportional to 472,405,691.80, 708,608,537.70 and 407,782,466.20 is: 611,673,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,405,691.80 : 708,608,537.70 = 407,782,466.20 : x
  2. Step 2: Convert to fraction form
    472,405,691.80/708,608,537.70 = 407,782,466.20/x
  3. Step 3: Cross multiply
    472,405,691.80x = 708,608,537.70 × 407,782,466.20
  4. Step 4: Simplify right side
    472,405,691.80x = 288,958,137,073,681,664
  5. Step 5: Solve for x
    x = 288,958,137,073,681,664/472,405,691.80
  6. Step 6: Final answer
    x = 611,673,699.30

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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.