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Finding the Fourth Proportional to 512,796,597.84, 707,659,571.25 and 277,847,443.80

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Solution

The fourth proportional to 512,796,597.84, 707,659,571.25 and 277,847,443.80 is: 383,429,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796,597.84 : 707,659,571.25 = 277,847,443.80 : x
  2. Step 2: Convert to fraction form
    512,796,597.84/707,659,571.25 = 277,847,443.80/x
  3. Step 3: Cross multiply
    512,796,597.84x = 707,659,571.25 × 277,847,443.80
  4. Step 4: Simplify right side
    512,796,597.84x = 196,621,402,952,416,480
  5. Step 5: Solve for x
    x = 196,621,402,952,416,480/512,796,597.84
  6. Step 6: Final answer
    x = 383,429,616.70

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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.