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Finding the Fourth Proportional to 303,696,415.80, 455,544,623.70 and 200,384,285.40

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Solution

The fourth proportional to 303,696,415.80, 455,544,623.70 and 200,384,285.40 is: 300,576,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,696,415.80 : 455,544,623.70 = 200,384,285.40 : x
  2. Step 2: Convert to fraction form
    303,696,415.80/455,544,623.70 = 200,384,285.40/x
  3. Step 3: Cross multiply
    303,696,415.80x = 455,544,623.70 × 200,384,285.40
  4. Step 4: Simplify right side
    303,696,415.80x = 91,283,983,887,936,400
  5. Step 5: Solve for x
    x = 91,283,983,887,936,400/303,696,415.80
  6. Step 6: Final answer
    x = 300,576,428.10

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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.