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Finding the Fourth Proportional to 4,010,738,347,008.40, 6,016,107,520,512.40 and 4,010,738,347,008.40

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Solution

The fourth proportional to 4,010,738,347,008.40, 6,016,107,520,512.40 and 4,010,738,347,008.40 is: 6,016,107,520,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,738,347,008.40 : 6,016,107,520,512.40 = 4,010,738,347,008.40 : x
  2. Step 2: Convert to fraction form
    4,010,738,347,008.40/6,016,107,520,512.40 = 4,010,738,347,008.40/x
  3. Step 3: Cross multiply
    4,010,738,347,008.40x = 6,016,107,520,512.40 × 4,010,738,347,008.40
  4. Step 4: Simplify right side
    4,010,738,347,008.40x = 24,129,033,132,244,706,552,446,976
  5. Step 5: Solve for x
    x = 24,129,033,132,244,706,552,446,976/4,010,738,347,008.40
  6. Step 6: Final answer
    x = 6,016,107,520,512.40

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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.