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Finding the Fourth Proportional to 148,740,960,023.10, 223,111,440,034.65 and 148,740,960,023.10

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Solution

The fourth proportional to 148,740,960,023.10, 223,111,440,034.65 and 148,740,960,023.10 is: 223,111,440,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,740,960,023.10 : 223,111,440,034.65 = 148,740,960,023.10 : x
  2. Step 2: Convert to fraction form
    148,740,960,023.10/223,111,440,034.65 = 148,740,960,023.10/x
  3. Step 3: Cross multiply
    148,740,960,023.10x = 223,111,440,034.65 × 148,740,960,023.10
  4. Step 4: Simplify right side
    148,740,960,023.10x = 33,185,809,782,890,150,494,208
  5. Step 5: Solve for x
    x = 33,185,809,782,890,150,494,208/148,740,960,023.10
  6. Step 6: Final answer
    x = 223,111,440,034.65

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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.