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Finding the Fourth Proportional to 9,743,138.90, 14,614,708.35 and 9,743,138.90

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Solution

The fourth proportional to 9,743,138.90, 14,614,708.35 and 9,743,138.90 is: 14,614,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743,138.90 : 14,614,708.35 = 9,743,138.90 : x
  2. Step 2: Convert to fraction form
    9,743,138.90/14,614,708.35 = 9,743,138.90/x
  3. Step 3: Cross multiply
    9,743,138.90x = 14,614,708.35 × 9,743,138.90
  4. Step 4: Simplify right side
    9,743,138.90x = 142,393,133,437,039.81
  5. Step 5: Solve for x
    x = 142,393,133,437,039.81/9,743,138.90
  6. Step 6: Final answer
    x = 14,614,708.35

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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.