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Finding the Fourth Proportional to 468,062,976.80, 702,094,465.20 and 238,480,464.80

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Solution

The fourth proportional to 468,062,976.80, 702,094,465.20 and 238,480,464.80 is: 357,720,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,062,976.80 : 702,094,465.20 = 238,480,464.80 : x
  2. Step 2: Convert to fraction form
    468,062,976.80/702,094,465.20 = 238,480,464.80/x
  3. Step 3: Cross multiply
    468,062,976.80x = 702,094,465.20 × 238,480,464.80
  4. Step 4: Simplify right side
    468,062,976.80x = 167,435,814,394,403,456
  5. Step 5: Solve for x
    x = 167,435,814,394,403,456/468,062,976.80
  6. Step 6: Final answer
    x = 357,720,697.20

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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.