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Finding the Fourth Proportional to 5,214,672.30, 7,822,008.45 and 5,214,672.30

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Solution

The fourth proportional to 5,214,672.30, 7,822,008.45 and 5,214,672.30 is: 7,822,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214,672.30 : 7,822,008.45 = 5,214,672.30 : x
  2. Step 2: Convert to fraction form
    5,214,672.30/7,822,008.45 = 5,214,672.30/x
  3. Step 3: Cross multiply
    5,214,672.30x = 7,822,008.45 × 5,214,672.30
  4. Step 4: Simplify right side
    5,214,672.30x = 40,789,210,794,580.94
  5. Step 5: Solve for x
    x = 40,789,210,794,580.94/5,214,672.30
  6. Step 6: Final answer
    x = 7,822,008.45

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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.