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Finding the Fourth Proportional to 299,563,674.48, 413,398,432.80 and 167,404,671.72

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Solution

The fourth proportional to 299,563,674.48, 413,398,432.80 and 167,404,671.72 is: 231,018,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563,674.48 : 413,398,432.80 = 167,404,671.72 : x
  2. Step 2: Convert to fraction form
    299,563,674.48/413,398,432.80 = 167,404,671.72/x
  3. Step 3: Cross multiply
    299,563,674.48x = 413,398,432.80 × 167,404,671.72
  4. Step 4: Simplify right side
    299,563,674.48x = 69,204,828,932,446,480
  5. Step 5: Solve for x
    x = 69,204,828,932,446,480/299,563,674.48
  6. Step 6: Final answer
    x = 231,018,761.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.