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Finding the Fourth Proportional to 748,683,846.80, 1,123,025,770.20 and 748,683,846.80

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Solution

The fourth proportional to 748,683,846.80, 1,123,025,770.20 and 748,683,846.80 is: 1,123,025,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,683,846.80 : 1,123,025,770.20 = 748,683,846.80 : x
  2. Step 2: Convert to fraction form
    748,683,846.80/1,123,025,770.20 = 748,683,846.80/x
  3. Step 3: Cross multiply
    748,683,846.80x = 1,123,025,770.20 × 748,683,846.80
  4. Step 4: Simplify right side
    748,683,846.80x = 840,791,253,688,868,736
  5. Step 5: Solve for x
    x = 840,791,253,688,868,736/748,683,846.80
  6. Step 6: Final answer
    x = 1,123,025,770.20

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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.