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Finding the Fourth Proportional to 202,131,307.80, 303,196,990.80 and 48,777,364.80

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Solution

The fourth proportional to 202,131,307.80, 303,196,990.80 and 48,777,364.80 is: 73,166,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,131,307.80 : 303,196,990.80 = 48,777,364.80 : x
  2. Step 2: Convert to fraction form
    202,131,307.80/303,196,990.80 = 48,777,364.80/x
  3. Step 3: Cross multiply
    202,131,307.80x = 303,196,990.80 × 48,777,364.80
  4. Step 4: Simplify right side
    202,131,307.80x = 14,789,150,226,513,844
  5. Step 5: Solve for x
    x = 14,789,150,226,513,844/202,131,307.80
  6. Step 6: Final answer
    x = 73,166,054.22

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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.