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Finding the Fourth Proportional to 16,509,726.40, 23,161,446.65 and 16,509,726.40

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Solution

The fourth proportional to 16,509,726.40, 23,161,446.65 and 16,509,726.40 is: 23,161,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509,726.40 : 23,161,446.65 = 16,509,726.40 : x
  2. Step 2: Convert to fraction form
    16,509,726.40/23,161,446.65 = 16,509,726.40/x
  3. Step 3: Cross multiply
    16,509,726.40x = 23,161,446.65 × 16,509,726.40
  4. Step 4: Simplify right side
    16,509,726.40x = 382,389,147,219,696.56
  5. Step 5: Solve for x
    x = 382,389,147,219,696.56/16,509,726.40
  6. Step 6: Final answer
    x = 23,161,446.65

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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.