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Finding the Fourth Proportional to 206,671,502.70, 310,033,826.10 and 103,093,651.80

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Solution

The fourth proportional to 206,671,502.70, 310,033,826.10 and 103,093,651.80 is: 154,653,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671,502.70 : 310,033,826.10 = 103,093,651.80 : x
  2. Step 2: Convert to fraction form
    206,671,502.70/310,033,826.10 = 103,093,651.80/x
  3. Step 3: Cross multiply
    206,671,502.70x = 310,033,826.10 × 103,093,651.80
  4. Step 4: Simplify right side
    206,671,502.70x = 31,962,519,314,175,152
  5. Step 5: Solve for x
    x = 31,962,519,314,175,152/206,671,502.70
  6. Step 6: Final answer
    x = 154,653,732.60

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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.