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Finding the Fourth Proportional to 768,733,800.12, 1,060,847,361.72 and 416,301,725.52

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Solution

The fourth proportional to 768,733,800.12, 1,060,847,361.72 and 416,301,725.52 is: 574,493,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,733,800.12 : 1,060,847,361.72 = 416,301,725.52 : x
  2. Step 2: Convert to fraction form
    768,733,800.12/1,060,847,361.72 = 416,301,725.52/x
  3. Step 3: Cross multiply
    768,733,800.12x = 1,060,847,361.72 × 416,301,725.52
  4. Step 4: Simplify right side
    768,733,800.12x = 441,632,587,197,375,616
  5. Step 5: Solve for x
    x = 441,632,587,197,375,616/768,733,800.12
  6. Step 6: Final answer
    x = 574,493,520.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.