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Finding the Fourth Proportional to 469,006,300.70, 703,509,472.91 and 321,308,217.98

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Solution

The fourth proportional to 469,006,300.70, 703,509,472.91 and 321,308,217.98 is: 481,962,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,006,300.70 : 703,509,472.91 = 321,308,217.98 : x
  2. Step 2: Convert to fraction form
    469,006,300.70/703,509,472.91 = 321,308,217.98/x
  3. Step 3: Cross multiply
    469,006,300.70x = 703,509,472.91 × 321,308,217.98
  4. Step 4: Simplify right side
    469,006,300.70x = 226,043,375,067,637,120
  5. Step 5: Solve for x
    x = 226,043,375,067,637,120/469,006,300.70
  6. Step 6: Final answer
    x = 481,962,341.94

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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.