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Finding the Fourth Proportional to 103,846,476, 155,736,586.32 and 35,672,728.80

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Solution

The fourth proportional to 103,846,476, 155,736,586.32 and 35,672,728.80 is: 53,497,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,846,476 : 155,736,586.32 = 35,672,728.80 : x
  2. Step 2: Convert to fraction form
    103,846,476/155,736,586.32 = 35,672,728.80/x
  3. Step 3: Cross multiply
    103,846,476x = 155,736,586.32 × 35,672,728.80
  4. Step 4: Simplify right side
    103,846,476x = 5,555,549,008,031,149
  5. Step 5: Solve for x
    x = 5,555,549,008,031,149/103,846,476
  6. Step 6: Final answer
    x = 53,497,713.37

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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.