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Finding the Fourth Proportional to 550,510,530.60, 825,509,758.35 and 200,512,935.84

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Solution

The fourth proportional to 550,510,530.60, 825,509,758.35 and 200,512,935.84 is: 300,676,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,510,530.60 : 825,509,758.35 = 200,512,935.84 : x
  2. Step 2: Convert to fraction form
    550,510,530.60/825,509,758.35 = 200,512,935.84/x
  3. Step 3: Cross multiply
    550,510,530.60x = 825,509,758.35 × 200,512,935.84
  4. Step 4: Simplify right side
    550,510,530.60x = 165,525,385,214,046,144
  5. Step 5: Solve for x
    x = 165,525,385,214,046,144/550,510,530.60
  6. Step 6: Final answer
    x = 300,676,146.98

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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.