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Finding the Fourth Proportional to 11,009,964.71, 16,514,947.07 and 11,009,964.71

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Solution

The fourth proportional to 11,009,964.71, 16,514,947.07 and 11,009,964.71 is: 16,514,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009,964.71 : 16,514,947.07 = 11,009,964.71 : x
  2. Step 2: Convert to fraction form
    11,009,964.71/16,514,947.07 = 11,009,964.71/x
  3. Step 3: Cross multiply
    11,009,964.71x = 16,514,947.07 × 11,009,964.71
  4. Step 4: Simplify right side
    11,009,964.71x = 181,828,984,455,742.81
  5. Step 5: Solve for x
    x = 181,828,984,455,742.81/11,009,964.71
  6. Step 6: Final answer
    x = 16,514,947.07

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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.