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Finding the Fourth Proportional to 9,099,682,999.40, 12,756,755,467 and 9,099,682,999.40

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Solution

The fourth proportional to 9,099,682,999.40, 12,756,755,467 and 9,099,682,999.40 is: 12,756,755,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,682,999.40 : 12,756,755,467 = 9,099,682,999.40 : x
  2. Step 2: Convert to fraction form
    9,099,682,999.40/12,756,755,467 = 9,099,682,999.40/x
  3. Step 3: Cross multiply
    9,099,682,999.40x = 12,756,755,467 × 9,099,682,999.40
  4. Step 4: Simplify right side
    9,099,682,999.40x = 116,082,430,850,562,899,968
  5. Step 5: Solve for x
    x = 116,082,430,850,562,899,968/9,099,682,999.40
  6. Step 6: Final answer
    x = 12,756,755,467

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.