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Finding the Fourth Proportional to 617,646,256.70, 926,469,385.05 and 208,696,502.30

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Solution

The fourth proportional to 617,646,256.70, 926,469,385.05 and 208,696,502.30 is: 313,044,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,646,256.70 : 926,469,385.05 = 208,696,502.30 : x
  2. Step 2: Convert to fraction form
    617,646,256.70/926,469,385.05 = 208,696,502.30/x
  3. Step 3: Cross multiply
    617,646,256.70x = 926,469,385.05 × 208,696,502.30
  4. Step 4: Simplify right side
    617,646,256.70x = 193,350,920,147,966,912
  5. Step 5: Solve for x
    x = 193,350,920,147,966,912/617,646,256.70
  6. Step 6: Final answer
    x = 313,044,753.45

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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.