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Finding the Fourth Proportional to 645,149,606.40, 967,724,409.92 and 645,149,606.40

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Solution

The fourth proportional to 645,149,606.40, 967,724,409.92 and 645,149,606.40 is: 967,724,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,149,606.40 : 967,724,409.92 = 645,149,606.40 : x
  2. Step 2: Convert to fraction form
    645,149,606.40/967,724,409.92 = 645,149,606.40/x
  3. Step 3: Cross multiply
    645,149,606.40x = 967,724,409.92 × 645,149,606.40
  4. Step 4: Simplify right side
    645,149,606.40x = 624,327,022,163,560,192
  5. Step 5: Solve for x
    x = 624,327,022,163,560,192/645,149,606.40
  6. Step 6: Final answer
    x = 967,724,409.92

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Double scale
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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.