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Finding the Fourth Proportional to 297,930,741,542.80, 446,896,112,314.20 and 297,930,741,542.80

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Solution

The fourth proportional to 297,930,741,542.80, 446,896,112,314.20 and 297,930,741,542.80 is: 446,896,112,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,930,741,542.80 : 446,896,112,314.20 = 297,930,741,542.80 : x
  2. Step 2: Convert to fraction form
    297,930,741,542.80/446,896,112,314.20 = 297,930,741,542.80/x
  3. Step 3: Cross multiply
    297,930,741,542.80x = 446,896,112,314.20 × 297,930,741,542.80
  4. Step 4: Simplify right side
    297,930,741,542.80x = 133,144,090,134,364,039,413,760
  5. Step 5: Solve for x
    x = 133,144,090,134,364,039,413,760/297,930,741,542.80
  6. Step 6: Final answer
    x = 446,896,112,314.20

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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.