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Finding the Fourth Proportional to 1,067,898,738.65, 1,473,700,046.47 and 591,620,057.06

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Solution

The fourth proportional to 1,067,898,738.65, 1,473,700,046.47 and 591,620,057.06 is: 816,435,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,898,738.65 : 1,473,700,046.47 = 591,620,057.06 : x
  2. Step 2: Convert to fraction form
    1,067,898,738.65/1,473,700,046.47 = 591,620,057.06/x
  3. Step 3: Cross multiply
    1,067,898,738.65x = 1,473,700,046.47 × 591,620,057.06
  4. Step 4: Simplify right side
    1,067,898,738.65x = 871,870,505,573,058,432
  5. Step 5: Solve for x
    x = 871,870,505,573,058,432/1,067,898,738.65
  6. Step 6: Final answer
    x = 816,435,560.81

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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.