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Finding the Fourth Proportional to 288,685,791.60, 433,028,687.40 and 286,134,874.80

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Solution

The fourth proportional to 288,685,791.60, 433,028,687.40 and 286,134,874.80 is: 429,202,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685,791.60 : 433,028,687.40 = 286,134,874.80 : x
  2. Step 2: Convert to fraction form
    288,685,791.60/433,028,687.40 = 286,134,874.80/x
  3. Step 3: Cross multiply
    288,685,791.60x = 433,028,687.40 × 286,134,874.80
  4. Step 4: Simplify right side
    288,685,791.60x = 123,904,609,254,007,328
  5. Step 5: Solve for x
    x = 123,904,609,254,007,328/288,685,791.60
  6. Step 6: Final answer
    x = 429,202,312.20

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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.