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Finding the Fourth Proportional to 109,906,677,008.70, 164,860,015,513.05 and 109,906,677,008.70

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Solution

The fourth proportional to 109,906,677,008.70, 164,860,015,513.05 and 109,906,677,008.70 is: 164,860,015,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906,677,008.70 : 164,860,015,513.05 = 109,906,677,008.70 : x
  2. Step 2: Convert to fraction form
    109,906,677,008.70/164,860,015,513.05 = 109,906,677,008.70/x
  3. Step 3: Cross multiply
    109,906,677,008.70x = 164,860,015,513.05 × 109,906,677,008.70
  4. Step 4: Simplify right side
    109,906,677,008.70x = 18,119,216,476,642,055,553,024
  5. Step 5: Solve for x
    x = 18,119,216,476,642,055,553,024/109,906,677,008.70
  6. Step 6: Final answer
    x = 164,860,015,513.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.