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Finding the Fourth Proportional to 828,925,905.70, 1,162,194,961.10 and 828,925,905.70

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Solution

The fourth proportional to 828,925,905.70, 1,162,194,961.10 and 828,925,905.70 is: 1,162,194,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,925,905.70 : 1,162,194,961.10 = 828,925,905.70 : x
  2. Step 2: Convert to fraction form
    828,925,905.70/1,162,194,961.10 = 828,925,905.70/x
  3. Step 3: Cross multiply
    828,925,905.70x = 1,162,194,961.10 × 828,925,905.70
  4. Step 4: Simplify right side
    828,925,905.70x = 963,373,510,729,793,792
  5. Step 5: Solve for x
    x = 963,373,510,729,793,792/828,925,905.70
  6. Step 6: Final answer
    x = 1,162,194,961.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.