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Finding the Fourth Proportional to 6,286,896,010.80, 8,814,553,866 and 6,286,896,010.80

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Solution

The fourth proportional to 6,286,896,010.80, 8,814,553,866 and 6,286,896,010.80 is: 8,814,553,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,896,010.80 : 8,814,553,866 = 6,286,896,010.80 : x
  2. Step 2: Convert to fraction form
    6,286,896,010.80/8,814,553,866 = 6,286,896,010.80/x
  3. Step 3: Cross multiply
    6,286,896,010.80x = 8,814,553,866 × 6,286,896,010.80
  4. Step 4: Simplify right side
    6,286,896,010.80x = 55,416,183,537,137,123,328
  5. Step 5: Solve for x
    x = 55,416,183,537,137,123,328/6,286,896,010.80
  6. Step 6: Final answer
    x = 8,814,553,866

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.