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Finding the Fourth Proportional to 996,410,096.40, 1,494,615,144.60 and 996,410,096.40

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Solution

The fourth proportional to 996,410,096.40, 1,494,615,144.60 and 996,410,096.40 is: 1,494,615,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,410,096.40 : 1,494,615,144.60 = 996,410,096.40 : x
  2. Step 2: Convert to fraction form
    996,410,096.40/1,494,615,144.60 = 996,410,096.40/x
  3. Step 3: Cross multiply
    996,410,096.40x = 1,494,615,144.60 × 996,410,096.40
  4. Step 4: Simplify right side
    996,410,096.40x = 1,489,249,620,311,785,728
  5. Step 5: Solve for x
    x = 1,489,249,620,311,785,728/996,410,096.40
  6. Step 6: Final answer
    x = 1,494,615,144.60

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1.5x scale

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.