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Finding the Fourth Proportional to 352,027,738,846.60, 528,041,608,269.90 and 352,027,738,846.60

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Solution

The fourth proportional to 352,027,738,846.60, 528,041,608,269.90 and 352,027,738,846.60 is: 528,041,608,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,027,738,846.60 : 528,041,608,269.90 = 352,027,738,846.60 : x
  2. Step 2: Convert to fraction form
    352,027,738,846.60/528,041,608,269.90 = 352,027,738,846.60/x
  3. Step 3: Cross multiply
    352,027,738,846.60x = 528,041,608,269.90 × 352,027,738,846.60
  4. Step 4: Simplify right side
    352,027,738,846.60x = 185,885,293,376,175,020,703,744
  5. Step 5: Solve for x
    x = 185,885,293,376,175,020,703,744/352,027,738,846.60
  6. Step 6: Final answer
    x = 528,041,608,269.90

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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.