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Finding the Fourth Proportional to 1,171,978,441.14, 1,755,669,195.95 and 679,657,408.50

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Solution

The fourth proportional to 1,171,978,441.14, 1,755,669,195.95 and 679,657,408.50 is: 1,018,153,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,978,441.14 : 1,755,669,195.95 = 679,657,408.50 : x
  2. Step 2: Convert to fraction form
    1,171,978,441.14/1,755,669,195.95 = 679,657,408.50/x
  3. Step 3: Cross multiply
    1,171,978,441.14x = 1,755,669,195.95 × 679,657,408.50
  4. Step 4: Simplify right side
    1,171,978,441.14x = 1,193,253,575,902,655,744
  5. Step 5: Solve for x
    x = 1,193,253,575,902,655,744/1,171,978,441.14
  6. Step 6: Final answer
    x = 1,018,153,179.29

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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.