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Finding the Fourth Proportional to 41,179,266,223.60, 61,768,899,335.40 and 41,179,266,223.60

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Solution

The fourth proportional to 41,179,266,223.60, 61,768,899,335.40 and 41,179,266,223.60 is: 61,768,899,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,179,266,223.60 : 61,768,899,335.40 = 41,179,266,223.60 : x
  2. Step 2: Convert to fraction form
    41,179,266,223.60/61,768,899,335.40 = 41,179,266,223.60/x
  3. Step 3: Cross multiply
    41,179,266,223.60x = 61,768,899,335.40 × 41,179,266,223.60
  4. Step 4: Simplify right side
    41,179,266,223.60x = 2,543,597,950,071,185,866,752
  5. Step 5: Solve for x
    x = 2,543,597,950,071,185,866,752/41,179,266,223.60
  6. Step 6: Final answer
    x = 61,768,899,335.40

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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.