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Finding the Fourth Proportional to 7,382,705.80, 11,074,058.70 and 7,382,705.80

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Solution

The fourth proportional to 7,382,705.80, 11,074,058.70 and 7,382,705.80 is: 11,074,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,705.80 : 11,074,058.70 = 7,382,705.80 : x
  2. Step 2: Convert to fraction form
    7,382,705.80/11,074,058.70 = 7,382,705.80/x
  3. Step 3: Cross multiply
    7,382,705.80x = 11,074,058.70 × 7,382,705.80
  4. Step 4: Simplify right side
    7,382,705.80x = 81,756,517,394,030.45
  5. Step 5: Solve for x
    x = 81,756,517,394,030.45/7,382,705.80
  6. Step 6: Final answer
    x = 11,074,058.70

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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.