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Finding the Fourth Proportional to 264,794,809.20, 396,436,386.60 and 264,794,809.20

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Solution

The fourth proportional to 264,794,809.20, 396,436,386.60 and 264,794,809.20 is: 396,436,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,794,809.20 : 396,436,386.60 = 264,794,809.20 : x
  2. Step 2: Convert to fraction form
    264,794,809.20/396,436,386.60 = 264,794,809.20/x
  3. Step 3: Cross multiply
    264,794,809.20x = 396,436,386.60 × 264,794,809.20
  4. Step 4: Simplify right side
    264,794,809.20x = 104,974,297,349,684,432
  5. Step 5: Solve for x
    x = 104,974,297,349,684,432/264,794,809.20
  6. Step 6: Final answer
    x = 396,436,386.60

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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.