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Finding the Fourth Proportional to 338,876,677,223.78, 508,315,015,835.67 and 338,876,677,223.78

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Solution

The fourth proportional to 338,876,677,223.78, 508,315,015,835.67 and 338,876,677,223.78 is: 508,315,015,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,876,677,223.78 : 508,315,015,835.67 = 338,876,677,223.78 : x
  2. Step 2: Convert to fraction form
    338,876,677,223.78/508,315,015,835.67 = 338,876,677,223.78/x
  3. Step 3: Cross multiply
    338,876,677,223.78x = 508,315,015,835.67 × 338,876,677,223.78
  4. Step 4: Simplify right side
    338,876,677,223.78x = 172,256,103,549,344,984,072,192
  5. Step 5: Solve for x
    x = 172,256,103,549,344,984,072,192/338,876,677,223.78
  6. Step 6: Final answer
    x = 508,315,015,835.67

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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.