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Finding the Fourth Proportional to 321,798,614.10, 482,949,863.55 and 149,296,802.10

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Solution

The fourth proportional to 321,798,614.10, 482,949,863.55 and 149,296,802.10 is: 224,062,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,798,614.10 : 482,949,863.55 = 149,296,802.10 : x
  2. Step 2: Convert to fraction form
    321,798,614.10/482,949,863.55 = 149,296,802.10/x
  3. Step 3: Cross multiply
    321,798,614.10x = 482,949,863.55 × 149,296,802.10
  4. Step 4: Simplify right side
    321,798,614.10x = 72,102,870,202,646,352
  5. Step 5: Solve for x
    x = 72,102,870,202,646,352/321,798,614.10
  6. Step 6: Final answer
    x = 224,062,090.52

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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.