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Finding the Fourth Proportional to 9,099,682,998.90, 12,756,755,466.30 and 9,099,682,998.90

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Solution

The fourth proportional to 9,099,682,998.90, 12,756,755,466.30 and 9,099,682,998.90 is: 12,756,755,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,682,998.90 : 12,756,755,466.30 = 9,099,682,998.90 : x
  2. Step 2: Convert to fraction form
    9,099,682,998.90/12,756,755,466.30 = 9,099,682,998.90/x
  3. Step 3: Cross multiply
    9,099,682,998.90x = 12,756,755,466.30 × 9,099,682,998.90
  4. Step 4: Simplify right side
    9,099,682,998.90x = 116,082,430,837,814,738,944
  5. Step 5: Solve for x
    x = 116,082,430,837,814,738,944/9,099,682,998.90
  6. Step 6: Final answer
    x = 12,756,755,466.30

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1.5x scale

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.