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Finding the Fourth Proportional to 322,646,822.40, 483,970,233.60 and 265,959,782.40

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Solution

The fourth proportional to 322,646,822.40, 483,970,233.60 and 265,959,782.40 is: 398,939,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,646,822.40 : 483,970,233.60 = 265,959,782.40 : x
  2. Step 2: Convert to fraction form
    322,646,822.40/483,970,233.60 = 265,959,782.40/x
  3. Step 3: Cross multiply
    322,646,822.40x = 483,970,233.60 × 265,959,782.40
  4. Step 4: Simplify right side
    322,646,822.40x = 128,716,618,016,333,184
  5. Step 5: Solve for x
    x = 128,716,618,016,333,184/322,646,822.40
  6. Step 6: Final answer
    x = 398,939,673.60

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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.