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Finding the Fourth Proportional to 131,906,688,672.30, 197,860,033,008.45 and 131,906,688,672.30

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Solution

The fourth proportional to 131,906,688,672.30, 197,860,033,008.45 and 131,906,688,672.30 is: 197,860,033,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,906,688,672.30 : 197,860,033,008.45 = 131,906,688,672.30 : x
  2. Step 2: Convert to fraction form
    131,906,688,672.30/197,860,033,008.45 = 131,906,688,672.30/x
  3. Step 3: Cross multiply
    131,906,688,672.30x = 197,860,033,008.45 × 131,906,688,672.30
  4. Step 4: Simplify right side
    131,906,688,672.30x = 26,099,061,774,736,619,995,136
  5. Step 5: Solve for x
    x = 26,099,061,774,736,619,995,136/131,906,688,672.30
  6. Step 6: Final answer
    x = 197,860,033,008.45

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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.