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Finding the Fourth Proportional to 320,305,246.20, 480,457,869.30 and 320,305,246.20

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Solution

The fourth proportional to 320,305,246.20, 480,457,869.30 and 320,305,246.20 is: 480,457,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,305,246.20 : 480,457,869.30 = 320,305,246.20 : x
  2. Step 2: Convert to fraction form
    320,305,246.20/480,457,869.30 = 320,305,246.20/x
  3. Step 3: Cross multiply
    320,305,246.20x = 480,457,869.30 × 320,305,246.20
  4. Step 4: Simplify right side
    320,305,246.20x = 153,893,176,114,863,904
  5. Step 5: Solve for x
    x = 153,893,176,114,863,904/320,305,246.20
  6. Step 6: Final answer
    x = 480,457,869.30

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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.