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Finding the Fourth Proportional to 4,644,376.20, 6,966,564.30 and 4,644,376.20

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Solution

The fourth proportional to 4,644,376.20, 6,966,564.30 and 4,644,376.20 is: 6,966,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,376.20 : 6,966,564.30 = 4,644,376.20 : x
  2. Step 2: Convert to fraction form
    4,644,376.20/6,966,564.30 = 4,644,376.20/x
  3. Step 3: Cross multiply
    4,644,376.20x = 6,966,564.30 × 4,644,376.20
  4. Step 4: Simplify right side
    4,644,376.20x = 32,355,345,430,689.66
  5. Step 5: Solve for x
    x = 32,355,345,430,689.66/4,644,376.20
  6. Step 6: Final answer
    x = 6,966,564.30

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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.