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Finding the Fourth Proportional to 13,609,585,866.15, 20,414,378,799.23 and 13,609,585,866.15

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Solution

The fourth proportional to 13,609,585,866.15, 20,414,378,799.23 and 13,609,585,866.15 is: 20,414,378,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609,585,866.15 : 20,414,378,799.23 = 13,609,585,866.15 : x
  2. Step 2: Convert to fraction form
    13,609,585,866.15/20,414,378,799.23 = 13,609,585,866.15/x
  3. Step 3: Cross multiply
    13,609,585,866.15x = 20,414,378,799.23 × 13,609,585,866.15
  4. Step 4: Simplify right side
    13,609,585,866.15x = 277,831,241,172,164,739,072
  5. Step 5: Solve for x
    x = 277,831,241,172,164,739,072/13,609,585,866.15
  6. Step 6: Final answer
    x = 20,414,378,799.23

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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.