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Finding the Fourth Proportional to 854,904,327.84, 1,179,770,243.76 and 463,763,751.84

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Solution

The fourth proportional to 854,904,327.84, 1,179,770,243.76 and 463,763,751.84 is: 639,995,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,904,327.84 : 1,179,770,243.76 = 463,763,751.84 : x
  2. Step 2: Convert to fraction form
    854,904,327.84/1,179,770,243.76 = 463,763,751.84/x
  3. Step 3: Cross multiply
    854,904,327.84x = 1,179,770,243.76 × 463,763,751.84
  4. Step 4: Simplify right side
    854,904,327.84x = 547,134,674,555,328,896
  5. Step 5: Solve for x
    x = 547,134,674,555,328,896/854,904,327.84
  6. Step 6: Final answer
    x = 639,995,209.68

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