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Finding the Fourth Proportional to 446,224,658.68, 667,282,223.22 and 424,456,835.32

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Solution

The fourth proportional to 446,224,658.68, 667,282,223.22 and 424,456,835.32 is: 634,730,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,224,658.68 : 667,282,223.22 = 424,456,835.32 : x
  2. Step 2: Convert to fraction form
    446,224,658.68/667,282,223.22 = 424,456,835.32/x
  3. Step 3: Cross multiply
    446,224,658.68x = 667,282,223.22 × 424,456,835.32
  4. Step 4: Simplify right side
    446,224,658.68x = 283,232,500,733,255,040
  5. Step 5: Solve for x
    x = 283,232,500,733,255,040/446,224,658.68
  6. Step 6: Final answer
    x = 634,730,724.14

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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.