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Finding the Fourth Proportional to 7,382,264.10, 10,309,975.50 and 7,382,264.10

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Solution

The fourth proportional to 7,382,264.10, 10,309,975.50 and 7,382,264.10 is: 10,309,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,264.10 : 10,309,975.50 = 7,382,264.10 : x
  2. Step 2: Convert to fraction form
    7,382,264.10/10,309,975.50 = 7,382,264.10/x
  3. Step 3: Cross multiply
    7,382,264.10x = 10,309,975.50 × 7,382,264.10
  4. Step 4: Simplify right side
    7,382,264.10x = 76,110,962,005,529.55
  5. Step 5: Solve for x
    x = 76,110,962,005,529.55/7,382,264.10
  6. Step 6: Final answer
    x = 10,309,975.50

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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.