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Finding the Fourth Proportional to 561,906,407.70, 842,859,611.55 and 238,748,289.30

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Solution

The fourth proportional to 561,906,407.70, 842,859,611.55 and 238,748,289.30 is: 358,122,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,906,407.70 : 842,859,611.55 = 238,748,289.30 : x
  2. Step 2: Convert to fraction form
    561,906,407.70/842,859,611.55 = 238,748,289.30/x
  3. Step 3: Cross multiply
    561,906,407.70x = 842,859,611.55 × 238,748,289.30
  4. Step 4: Simplify right side
    561,906,407.70x = 201,231,290,377,625,024
  5. Step 5: Solve for x
    x = 201,231,290,377,625,024/561,906,407.70
  6. Step 6: Final answer
    x = 358,122,433.95

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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.