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Finding the Fourth Proportional to 26,903,072,072.80, 40,354,608,109.20 and 26,903,072,072.80

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Solution

The fourth proportional to 26,903,072,072.80, 40,354,608,109.20 and 26,903,072,072.80 is: 40,354,608,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,903,072,072.80 : 40,354,608,109.20 = 26,903,072,072.80 : x
  2. Step 2: Convert to fraction form
    26,903,072,072.80/40,354,608,109.20 = 26,903,072,072.80/x
  3. Step 3: Cross multiply
    26,903,072,072.80x = 40,354,608,109.20 × 26,903,072,072.80
  4. Step 4: Simplify right side
    26,903,072,072.80x = 1,085,662,930,431,406,768,128
  5. Step 5: Solve for x
    x = 1,085,662,930,431,406,768,128/26,903,072,072.80
  6. Step 6: Final answer
    x = 40,354,608,109.20

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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.