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Finding the Fourth Proportional to 297,980,259.20, 446,970,388.80 and 297,980,259.20

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Solution

The fourth proportional to 297,980,259.20, 446,970,388.80 and 297,980,259.20 is: 446,970,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,980,259.20 : 446,970,388.80 = 297,980,259.20 : x
  2. Step 2: Convert to fraction form
    297,980,259.20/446,970,388.80 = 297,980,259.20/x
  3. Step 3: Cross multiply
    297,980,259.20x = 446,970,388.80 × 297,980,259.20
  4. Step 4: Simplify right side
    297,980,259.20x = 133,188,352,309,348,768
  5. Step 5: Solve for x
    x = 133,188,352,309,348,768/297,980,259.20
  6. Step 6: Final answer
    x = 446,970,388.80

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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.