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Finding the Fourth Proportional to 11,740,031.30, 16,458,438.70 and 11,740,031.30

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Solution

The fourth proportional to 11,740,031.30, 16,458,438.70 and 11,740,031.30 is: 16,458,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740,031.30 : 16,458,438.70 = 11,740,031.30 : x
  2. Step 2: Convert to fraction form
    11,740,031.30/16,458,438.70 = 11,740,031.30/x
  3. Step 3: Cross multiply
    11,740,031.30x = 16,458,438.70 × 11,740,031.30
  4. Step 4: Simplify right side
    11,740,031.30x = 193,222,585,487,131.31
  5. Step 5: Solve for x
    x = 193,222,585,487,131.31/11,740,031.30
  6. Step 6: Final answer
    x = 16,458,438.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.