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Finding the Fourth Proportional to 9,738,049.10, 14,573,896.05 and 9,738,049.10

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Solution

The fourth proportional to 9,738,049.10, 14,573,896.05 and 9,738,049.10 is: 14,573,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,049.10 : 14,573,896.05 = 9,738,049.10 : x
  2. Step 2: Convert to fraction form
    9,738,049.10/14,573,896.05 = 9,738,049.10/x
  3. Step 3: Cross multiply
    9,738,049.10x = 14,573,896.05 × 9,738,049.10
  4. Step 4: Simplify right side
    9,738,049.10x = 141,921,315,313,196.06
  5. Step 5: Solve for x
    x = 141,921,315,313,196.06/9,738,049.10
  6. Step 6: Final answer
    x = 14,573,896.05

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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.