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Finding the Fourth Proportional to 49,830,342.30, 69,592,418.10 and 49,830,342.30

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Solution

The fourth proportional to 49,830,342.30, 69,592,418.10 and 49,830,342.30 is: 69,592,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830,342.30 : 69,592,418.10 = 49,830,342.30 : x
  2. Step 2: Convert to fraction form
    49,830,342.30/69,592,418.10 = 49,830,342.30/x
  3. Step 3: Cross multiply
    49,830,342.30x = 69,592,418.10 × 49,830,342.30
  4. Step 4: Simplify right side
    49,830,342.30x = 3,467,814,015,407,715
  5. Step 5: Solve for x
    x = 3,467,814,015,407,715/49,830,342.30
  6. Step 6: Final answer
    x = 69,592,418.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.