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Finding the Fourth Proportional to 22,674,978,023.10, 34,012,467,034.65 and 9,588,774,839.10

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Solution

The fourth proportional to 22,674,978,023.10, 34,012,467,034.65 and 9,588,774,839.10 is: 14,383,162,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674,978,023.10 : 34,012,467,034.65 = 9,588,774,839.10 : x
  2. Step 2: Convert to fraction form
    22,674,978,023.10/34,012,467,034.65 = 9,588,774,839.10/x
  3. Step 3: Cross multiply
    22,674,978,023.10x = 34,012,467,034.65 × 9,588,774,839.10
  4. Step 4: Simplify right side
    22,674,978,023.10x = 326,137,888,117,570,142,208
  5. Step 5: Solve for x
    x = 326,137,888,117,570,142,208/22,674,978,023.10
  6. Step 6: Final answer
    x = 14,383,162,258.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.