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Finding the Fourth Proportional to 105,948,209.40, 148,667,615.40 and 105,948,209.40

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Solution

The fourth proportional to 105,948,209.40, 148,667,615.40 and 105,948,209.40 is: 148,667,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,948,209.40 : 148,667,615.40 = 105,948,209.40 : x
  2. Step 2: Convert to fraction form
    105,948,209.40/148,667,615.40 = 105,948,209.40/x
  3. Step 3: Cross multiply
    105,948,209.40x = 148,667,615.40 × 105,948,209.40
  4. Step 4: Simplify right side
    105,948,209.40x = 15,751,067,647,397,866
  5. Step 5: Solve for x
    x = 15,751,067,647,397,866/105,948,209.40
  6. Step 6: Final answer
    x = 148,667,615.40

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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.