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Finding the Fourth Proportional to 397,465,643.70, 596,198,465.55 and 314,560,847.70

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Solution

The fourth proportional to 397,465,643.70, 596,198,465.55 and 314,560,847.70 is: 471,841,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,465,643.70 : 596,198,465.55 = 314,560,847.70 : x
  2. Step 2: Convert to fraction form
    397,465,643.70/596,198,465.55 = 314,560,847.70/x
  3. Step 3: Cross multiply
    397,465,643.70x = 596,198,465.55 × 314,560,847.70
  4. Step 4: Simplify right side
    397,465,643.70x = 187,540,694,720,847,232
  5. Step 5: Solve for x
    x = 187,540,694,720,847,232/397,465,643.70
  6. Step 6: Final answer
    x = 471,841,271.55

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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.