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Finding the Fourth Proportional to 21,489,096,521.70, 32,233,644,782.55 and 21,489,096,521.70

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Solution

The fourth proportional to 21,489,096,521.70, 32,233,644,782.55 and 21,489,096,521.70 is: 32,233,644,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489,096,521.70 : 32,233,644,782.55 = 21,489,096,521.70 : x
  2. Step 2: Convert to fraction form
    21,489,096,521.70/32,233,644,782.55 = 21,489,096,521.70/x
  3. Step 3: Cross multiply
    21,489,096,521.70x = 32,233,644,782.55 × 21,489,096,521.70
  4. Step 4: Simplify right side
    21,489,096,521.70x = 692,671,903,978,408,509,440
  5. Step 5: Solve for x
    x = 692,671,903,978,408,509,440/21,489,096,521.70
  6. Step 6: Final answer
    x = 32,233,644,782.55

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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.