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Finding the Fourth Proportional to 297,091,729,404.70, 445,637,594,107.05 and 297,091,729,404.70

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Solution

The fourth proportional to 297,091,729,404.70, 445,637,594,107.05 and 297,091,729,404.70 is: 445,637,594,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,091,729,404.70 : 445,637,594,107.05 = 297,091,729,404.70 : x
  2. Step 2: Convert to fraction form
    297,091,729,404.70/445,637,594,107.05 = 297,091,729,404.70/x
  3. Step 3: Cross multiply
    297,091,729,404.70x = 445,637,594,107.05 × 297,091,729,404.70
  4. Step 4: Simplify right side
    297,091,729,404.70x = 132,395,243,521,013,234,794,496
  5. Step 5: Solve for x
    x = 132,395,243,521,013,234,794,496/297,091,729,404.70
  6. Step 6: Final answer
    x = 445,637,594,107.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.