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Finding the Fourth Proportional to 9,099,682,994.40, 12,756,755,460 and 9,099,682,994.40

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Solution

The fourth proportional to 9,099,682,994.40, 12,756,755,460 and 9,099,682,994.40 is: 12,756,755,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,682,994.40 : 12,756,755,460 = 9,099,682,994.40 : x
  2. Step 2: Convert to fraction form
    9,099,682,994.40/12,756,755,460 = 9,099,682,994.40/x
  3. Step 3: Cross multiply
    9,099,682,994.40x = 12,756,755,460 × 9,099,682,994.40
  4. Step 4: Simplify right side
    9,099,682,994.40x = 116,082,430,723,081,338,880
  5. Step 5: Solve for x
    x = 116,082,430,723,081,338,880/9,099,682,994.40
  6. Step 6: Final answer
    x = 12,756,755,460

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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.