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Finding the Fourth Proportional to 74,138,112,076.05, 111,207,168,114.08 and 74,138,112,076.05

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Solution

The fourth proportional to 74,138,112,076.05, 111,207,168,114.08 and 74,138,112,076.05 is: 111,207,168,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138,112,076.05 : 111,207,168,114.08 = 74,138,112,076.05 : x
  2. Step 2: Convert to fraction form
    74,138,112,076.05/111,207,168,114.08 = 74,138,112,076.05/x
  3. Step 3: Cross multiply
    74,138,112,076.05x = 111,207,168,114.08 × 74,138,112,076.05
  4. Step 4: Simplify right side
    74,138,112,076.05x = 8,244,689,493,301,797,060,608
  5. Step 5: Solve for x
    x = 8,244,689,493,301,797,060,608/74,138,112,076.05
  6. Step 6: Final answer
    x = 111,207,168,114.08

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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.