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Finding the Fourth Proportional to 522,137,997.50, 783,296,224.40 and 215,262,356.54

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Solution

The fourth proportional to 522,137,997.50, 783,296,224.40 and 215,262,356.54 is: 322,930,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,137,997.50 : 783,296,224.40 = 215,262,356.54 : x
  2. Step 2: Convert to fraction form
    522,137,997.50/783,296,224.40 = 215,262,356.54/x
  3. Step 3: Cross multiply
    522,137,997.50x = 783,296,224.40 × 215,262,356.54
  4. Step 4: Simplify right side
    522,137,997.50x = 168,614,191,128,235,840
  5. Step 5: Solve for x
    x = 168,614,191,128,235,840/522,137,997.50
  6. Step 6: Final answer
    x = 322,930,320.98

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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.