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Finding the Fourth Proportional to 532,538,803.20, 798,808,204.80 and 512,131,468.80

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Solution

The fourth proportional to 532,538,803.20, 798,808,204.80 and 512,131,468.80 is: 768,197,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,538,803.20 : 798,808,204.80 = 512,131,468.80 : x
  2. Step 2: Convert to fraction form
    532,538,803.20/798,808,204.80 = 512,131,468.80/x
  3. Step 3: Cross multiply
    532,538,803.20x = 798,808,204.80 × 512,131,468.80
  4. Step 4: Simplify right side
    532,538,803.20x = 409,094,819,213,715,200
  5. Step 5: Solve for x
    x = 409,094,819,213,715,200/532,538,803.20
  6. Step 6: Final answer
    x = 768,197,203.20

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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.