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Finding the Fourth Proportional to 297,930,741,559.80, 446,896,112,339.70 and 297,930,741,559.80

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Solution

The fourth proportional to 297,930,741,559.80, 446,896,112,339.70 and 297,930,741,559.80 is: 446,896,112,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,930,741,559.80 : 446,896,112,339.70 = 297,930,741,559.80 : x
  2. Step 2: Convert to fraction form
    297,930,741,559.80/446,896,112,339.70 = 297,930,741,559.80/x
  3. Step 3: Cross multiply
    297,930,741,559.80x = 446,896,112,339.70 × 297,930,741,559.80
  4. Step 4: Simplify right side
    297,930,741,559.80x = 133,144,090,149,558,509,633,536
  5. Step 5: Solve for x
    x = 133,144,090,149,558,509,633,536/297,930,741,559.80
  6. Step 6: Final answer
    x = 446,896,112,339.70

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Double scale
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1.5x scale

Why These Related Problems?

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