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Finding the Fourth Proportional to 498,053,752.36, 748,214,369.32 and 360,304,245.16

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Solution

The fourth proportional to 498,053,752.36, 748,214,369.32 and 360,304,245.16 is: 541,276,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,053,752.36 : 748,214,369.32 = 360,304,245.16 : x
  2. Step 2: Convert to fraction form
    498,053,752.36/748,214,369.32 = 360,304,245.16/x
  3. Step 3: Cross multiply
    498,053,752.36x = 748,214,369.32 × 360,304,245.16
  4. Step 4: Simplify right side
    498,053,752.36x = 269,584,813,555,708,096
  5. Step 5: Solve for x
    x = 269,584,813,555,708,096/498,053,752.36
  6. Step 6: Final answer
    x = 541,276,543.50

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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.