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Finding the Fourth Proportional to 784,936,817.73, 1,177,405,226.59 and 784,936,817.73

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Solution

The fourth proportional to 784,936,817.73, 1,177,405,226.59 and 784,936,817.73 is: 1,177,405,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,936,817.73 : 1,177,405,226.59 = 784,936,817.73 : x
  2. Step 2: Convert to fraction form
    784,936,817.73/1,177,405,226.59 = 784,936,817.73/x
  3. Step 3: Cross multiply
    784,936,817.73x = 1,177,405,226.59 × 784,936,817.73
  4. Step 4: Simplify right side
    784,936,817.73x = 924,188,711,732,337,152
  5. Step 5: Solve for x
    x = 924,188,711,732,337,152/784,936,817.73
  6. Step 6: Final answer
    x = 1,177,405,226.59

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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.