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Finding the Fourth Proportional to 548,283,494.94, 822,428,041.77 and 184,781,000.22

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Solution

The fourth proportional to 548,283,494.94, 822,428,041.77 and 184,781,000.22 is: 277,172,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,283,494.94 : 822,428,041.77 = 184,781,000.22 : x
  2. Step 2: Convert to fraction form
    548,283,494.94/822,428,041.77 = 184,781,000.22/x
  3. Step 3: Cross multiply
    548,283,494.94x = 822,428,041.77 × 184,781,000.22
  4. Step 4: Simplify right side
    548,283,494.94x = 151,969,076,167,236,544
  5. Step 5: Solve for x
    x = 151,969,076,167,236,544/548,283,494.94
  6. Step 6: Final answer
    x = 277,172,443.76

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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.