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Finding the Fourth Proportional to 9,099,682,972.65, 12,756,755,429.55 and 9,099,682,972.65

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Solution

The fourth proportional to 9,099,682,972.65, 12,756,755,429.55 and 9,099,682,972.65 is: 12,756,755,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,682,972.65 : 12,756,755,429.55 = 9,099,682,972.65 : x
  2. Step 2: Convert to fraction form
    9,099,682,972.65/12,756,755,429.55 = 9,099,682,972.65/x
  3. Step 3: Cross multiply
    9,099,682,972.65x = 12,756,755,429.55 × 9,099,682,972.65
  4. Step 4: Simplify right side
    9,099,682,972.65x = 116,082,430,168,536,563,712
  5. Step 5: Solve for x
    x = 116,082,430,168,536,563,712/9,099,682,972.65
  6. Step 6: Final answer
    x = 12,756,755,429.55

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