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Finding the Fourth Proportional to 2,005,694,784,133.50, 3,008,542,176,200.10 and 2,005,694,784,133.50

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Solution

The fourth proportional to 2,005,694,784,133.50, 3,008,542,176,200.10 and 2,005,694,784,133.50 is: 3,008,542,176,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,694,784,133.50 : 3,008,542,176,200.10 = 2,005,694,784,133.50 : x
  2. Step 2: Convert to fraction form
    2,005,694,784,133.50/3,008,542,176,200.10 = 2,005,694,784,133.50/x
  3. Step 3: Cross multiply
    2,005,694,784,133.50x = 3,008,542,176,200.10 × 2,005,694,784,133.50
  4. Step 4: Simplify right side
    2,005,694,784,133.50x = 6,034,217,350,650,190,362,574,848
  5. Step 5: Solve for x
    x = 6,034,217,350,650,190,362,574,848/2,005,694,784,133.50
  6. Step 6: Final answer
    x = 3,008,542,176,200.10

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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.