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Finding the Fourth Proportional to 100,102,023.45, 140,344,386.75 and 100,102,023.45

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Solution

The fourth proportional to 100,102,023.45, 140,344,386.75 and 100,102,023.45 is: 140,344,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102,023.45 : 140,344,386.75 = 100,102,023.45 : x
  2. Step 2: Convert to fraction form
    100,102,023.45/140,344,386.75 = 100,102,023.45/x
  3. Step 3: Cross multiply
    100,102,023.45x = 140,344,386.75 × 100,102,023.45
  4. Step 4: Simplify right side
    100,102,023.45x = 14,048,757,093,524,370
  5. Step 5: Solve for x
    x = 14,048,757,093,524,370/100,102,023.45
  6. Step 6: Final answer
    x = 140,344,386.75

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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.