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Finding the Fourth Proportional to 724,497,738.70, 1,086,746,608.05 and 724,497,738.70

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Solution

The fourth proportional to 724,497,738.70, 1,086,746,608.05 and 724,497,738.70 is: 1,086,746,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,497,738.70 : 1,086,746,608.05 = 724,497,738.70 : x
  2. Step 2: Convert to fraction form
    724,497,738.70/1,086,746,608.05 = 724,497,738.70/x
  3. Step 3: Cross multiply
    724,497,738.70x = 1,086,746,608.05 × 724,497,738.70
  4. Step 4: Simplify right side
    724,497,738.70x = 787,345,460,072,120,192
  5. Step 5: Solve for x
    x = 787,345,460,072,120,192/724,497,738.70
  6. Step 6: Final answer
    x = 1,086,746,608.05

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Double scale
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Similar ratio
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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.