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Finding the Fourth Proportional to 570,737,598.57, 787,621,917.11 and 309,977,214.57

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Solution

The fourth proportional to 570,737,598.57, 787,621,917.11 and 309,977,214.57 is: 427,770,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,737,598.57 : 787,621,917.11 = 309,977,214.57 : x
  2. Step 2: Convert to fraction form
    570,737,598.57/787,621,917.11 = 309,977,214.57/x
  3. Step 3: Cross multiply
    570,737,598.57x = 787,621,917.11 × 309,977,214.57
  4. Step 4: Simplify right side
    570,737,598.57x = 244,144,847,998,491,328
  5. Step 5: Solve for x
    x = 244,144,847,998,491,328/570,737,598.57
  6. Step 6: Final answer
    x = 427,770,745.45

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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.