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Finding the Fourth Proportional to 14,678,564.20, 22,017,846.30 and 14,678,564.20

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Solution

The fourth proportional to 14,678,564.20, 22,017,846.30 and 14,678,564.20 is: 22,017,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678,564.20 : 22,017,846.30 = 14,678,564.20 : x
  2. Step 2: Convert to fraction form
    14,678,564.20/22,017,846.30 = 14,678,564.20/x
  3. Step 3: Cross multiply
    14,678,564.20x = 22,017,846.30 × 14,678,564.20
  4. Step 4: Simplify right side
    14,678,564.20x = 323,190,370,460,282.44
  5. Step 5: Solve for x
    x = 323,190,370,460,282.44/14,678,564.20
  6. Step 6: Final answer
    x = 22,017,846.30

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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.