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Finding the Fourth Proportional to 10,784,150,405.90, 16,152,039,138.45 and 10,784,150,405.90

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Solution

The fourth proportional to 10,784,150,405.90, 16,152,039,138.45 and 10,784,150,405.90 is: 16,152,039,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784,150,405.90 : 16,152,039,138.45 = 10,784,150,405.90 : x
  2. Step 2: Convert to fraction form
    10,784,150,405.90/16,152,039,138.45 = 10,784,150,405.90/x
  3. Step 3: Cross multiply
    10,784,150,405.90x = 16,152,039,138.45 × 10,784,150,405.90
  4. Step 4: Simplify right side
    10,784,150,405.90x = 174,186,019,431,028,260,864
  5. Step 5: Solve for x
    x = 174,186,019,431,028,260,864/10,784,150,405.90
  6. Step 6: Final answer
    x = 16,152,039,138.45

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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.