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Finding the Fourth Proportional to 305,082,291.94, 420,995,684.80 and 165,851,835.82

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Solution

The fourth proportional to 305,082,291.94, 420,995,684.80 and 165,851,835.82 is: 228,865,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,082,291.94 : 420,995,684.80 = 165,851,835.82 : x
  2. Step 2: Convert to fraction form
    305,082,291.94/420,995,684.80 = 165,851,835.82/x
  3. Step 3: Cross multiply
    305,082,291.94x = 420,995,684.80 × 165,851,835.82
  4. Step 4: Simplify right side
    305,082,291.94x = 69,822,907,196,378,072
  5. Step 5: Solve for x
    x = 69,822,907,196,378,072/305,082,291.94
  6. Step 6: Final answer
    x = 228,865,814.38

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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.