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Finding the Fourth Proportional to 85,152,473,187.60, 127,728,709,781.40 and 85,152,473,187.60

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Solution

The fourth proportional to 85,152,473,187.60, 127,728,709,781.40 and 85,152,473,187.60 is: 127,728,709,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,152,473,187.60 : 127,728,709,781.40 = 85,152,473,187.60 : x
  2. Step 2: Convert to fraction form
    85,152,473,187.60/127,728,709,781.40 = 85,152,473,187.60/x
  3. Step 3: Cross multiply
    85,152,473,187.60x = 127,728,709,781.40 × 85,152,473,187.60
  4. Step 4: Simplify right side
    85,152,473,187.60x = 10,876,415,534,947,404,611,584
  5. Step 5: Solve for x
    x = 10,876,415,534,947,404,611,584/85,152,473,187.60
  6. Step 6: Final answer
    x = 127,728,709,781.40

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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.