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Finding the Fourth Proportional to 214,347,496,810.80, 321,521,245,216.20 and 214,347,496,810.80

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Solution

The fourth proportional to 214,347,496,810.80, 321,521,245,216.20 and 214,347,496,810.80 is: 321,521,245,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,347,496,810.80 : 321,521,245,216.20 = 214,347,496,810.80 : x
  2. Step 2: Convert to fraction form
    214,347,496,810.80/321,521,245,216.20 = 214,347,496,810.80/x
  3. Step 3: Cross multiply
    214,347,496,810.80x = 321,521,245,216.20 × 214,347,496,810.80
  4. Step 4: Simplify right side
    214,347,496,810.80x = 68,917,274,083,583,869,321,216
  5. Step 5: Solve for x
    x = 68,917,274,083,583,869,321,216/214,347,496,810.80
  6. Step 6: Final answer
    x = 321,521,245,216.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.