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Finding the Fourth Proportional to 11,810,020.30, 17,683,537.65 and 11,810,020.30

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Solution

The fourth proportional to 11,810,020.30, 17,683,537.65 and 11,810,020.30 is: 17,683,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810,020.30 : 17,683,537.65 = 11,810,020.30 : x
  2. Step 2: Convert to fraction form
    11,810,020.30/17,683,537.65 = 11,810,020.30/x
  3. Step 3: Cross multiply
    11,810,020.30x = 17,683,537.65 × 11,810,020.30
  4. Step 4: Simplify right side
    11,810,020.30x = 208,842,938,622,314.28
  5. Step 5: Solve for x
    x = 208,842,938,622,314.28/11,810,020.30
  6. Step 6: Final answer
    x = 17,683,537.65

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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.