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Finding the Fourth Proportional to 1,100,853.70, 1,538,045.90 and 1,100,853.70

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Solution

The fourth proportional to 1,100,853.70, 1,538,045.90 and 1,100,853.70 is: 1,538,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,853.70 : 1,538,045.90 = 1,100,853.70 : x
  2. Step 2: Convert to fraction form
    1,100,853.70/1,538,045.90 = 1,100,853.70/x
  3. Step 3: Cross multiply
    1,100,853.70x = 1,538,045.90 × 1,100,853.70
  4. Step 4: Simplify right side
    1,100,853.70x = 1,693,163,519,784.83
  5. Step 5: Solve for x
    x = 1,693,163,519,784.83/1,100,853.70
  6. Step 6: Final answer
    x = 1,538,045.90

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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.