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Finding the Fourth Proportional to 5,509,136.70, 8,263,705.05 and 5,509,136.70

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Solution

The fourth proportional to 5,509,136.70, 8,263,705.05 and 5,509,136.70 is: 8,263,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,136.70 : 8,263,705.05 = 5,509,136.70 : x
  2. Step 2: Convert to fraction form
    5,509,136.70/8,263,705.05 = 5,509,136.70/x
  3. Step 3: Cross multiply
    5,509,136.70x = 8,263,705.05 × 5,509,136.70
  4. Step 4: Simplify right side
    5,509,136.70x = 45,525,880,768,930.34
  5. Step 5: Solve for x
    x = 45,525,880,768,930.34/5,509,136.70
  6. Step 6: Final answer
    x = 8,263,705.05

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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.