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Finding the Fourth Proportional to 52,479,072,294.80, 78,718,608,442.20 and 52,479,072,294.80

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Solution

The fourth proportional to 52,479,072,294.80, 78,718,608,442.20 and 52,479,072,294.80 is: 78,718,608,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,479,072,294.80 : 78,718,608,442.20 = 52,479,072,294.80 : x
  2. Step 2: Convert to fraction form
    52,479,072,294.80/78,718,608,442.20 = 52,479,072,294.80/x
  3. Step 3: Cross multiply
    52,479,072,294.80x = 78,718,608,442.20 × 52,479,072,294.80
  4. Step 4: Simplify right side
    52,479,072,294.80x = 4,131,079,543,384,267,292,672
  5. Step 5: Solve for x
    x = 4,131,079,543,384,267,292,672/52,479,072,294.80
  6. Step 6: Final answer
    x = 78,718,608,442.20

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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.