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Finding the Fourth Proportional to 91,760,232,379.60, 137,640,348,569.40 and 91,760,232,379.60

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Solution

The fourth proportional to 91,760,232,379.60, 137,640,348,569.40 and 91,760,232,379.60 is: 137,640,348,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760,232,379.60 : 137,640,348,569.40 = 91,760,232,379.60 : x
  2. Step 2: Convert to fraction form
    91,760,232,379.60/137,640,348,569.40 = 91,760,232,379.60/x
  3. Step 3: Cross multiply
    91,760,232,379.60x = 137,640,348,569.40 × 91,760,232,379.60
  4. Step 4: Simplify right side
    91,760,232,379.60x = 12,629,910,369,537,288,568,832
  5. Step 5: Solve for x
    x = 12,629,910,369,537,288,568,832/91,760,232,379.60
  6. Step 6: Final answer
    x = 137,640,348,569.40

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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.