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Finding the Fourth Proportional to 219,984,625, 329,974,836.54 and 133,746,841

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Solution

The fourth proportional to 219,984,625, 329,974,836.54 and 133,746,841 is: 200,618,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,984,625 : 329,974,836.54 = 133,746,841 : x
  2. Step 2: Convert to fraction form
    219,984,625/329,974,836.54 = 133,746,841/x
  3. Step 3: Cross multiply
    219,984,625x = 329,974,836.54 × 133,746,841
  4. Step 4: Simplify right side
    219,984,625x = 44,133,091,996,716,376
  5. Step 5: Solve for x
    x = 44,133,091,996,716,376/219,984,625
  6. Step 6: Final answer
    x = 200,618,984.15

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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.