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Finding the Fourth Proportional to 5,536,705.20, 7,732,491.60 and 5,536,705.20

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Solution

The fourth proportional to 5,536,705.20, 7,732,491.60 and 5,536,705.20 is: 7,732,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536,705.20 : 7,732,491.60 = 5,536,705.20 : x
  2. Step 2: Convert to fraction form
    5,536,705.20/7,732,491.60 = 5,536,705.20/x
  3. Step 3: Cross multiply
    5,536,705.20x = 7,732,491.60 × 5,536,705.20
  4. Step 4: Simplify right side
    5,536,705.20x = 42,812,526,450,676.32
  5. Step 5: Solve for x
    x = 42,812,526,450,676.32/5,536,705.20
  6. Step 6: Final answer
    x = 7,732,491.60

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