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Finding the Fourth Proportional to 84,933,588,625.60, 127,400,382,938.40 and 84,933,588,625.60

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Solution

The fourth proportional to 84,933,588,625.60, 127,400,382,938.40 and 84,933,588,625.60 is: 127,400,382,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,933,588,625.60 : 127,400,382,938.40 = 84,933,588,625.60 : x
  2. Step 2: Convert to fraction form
    84,933,588,625.60/127,400,382,938.40 = 84,933,588,625.60/x
  3. Step 3: Cross multiply
    84,933,588,625.60x = 127,400,382,938.40 × 84,933,588,625.60
  4. Step 4: Simplify right side
    84,933,588,625.60x = 10,820,571,715,233,973,796,864
  5. Step 5: Solve for x
    x = 10,820,571,715,233,973,796,864/84,933,588,625.60
  6. Step 6: Final answer
    x = 127,400,382,938.40

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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.