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Finding the Fourth Proportional to 259,939,287,029.70, 389,908,930,544.55 and 259,939,287,029.70

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Solution

The fourth proportional to 259,939,287,029.70, 389,908,930,544.55 and 259,939,287,029.70 is: 389,908,930,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,939,287,029.70 : 389,908,930,544.55 = 259,939,287,029.70 : x
  2. Step 2: Convert to fraction form
    259,939,287,029.70/389,908,930,544.55 = 259,939,287,029.70/x
  3. Step 3: Cross multiply
    259,939,287,029.70x = 389,908,930,544.55 × 259,939,287,029.70
  4. Step 4: Simplify right side
    259,939,287,029.70x = 101,352,649,412,263,142,227,968
  5. Step 5: Solve for x
    x = 101,352,649,412,263,142,227,968/259,939,287,029.70
  6. Step 6: Final answer
    x = 389,908,930,544.55

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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.