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Finding the Fourth Proportional to 16,509,713.15, 23,161,428.10 and 16,509,713.15

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Solution

The fourth proportional to 16,509,713.15, 23,161,428.10 and 16,509,713.15 is: 23,161,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509,713.15 : 23,161,428.10 = 16,509,713.15 : x
  2. Step 2: Convert to fraction form
    16,509,713.15/23,161,428.10 = 16,509,713.15/x
  3. Step 3: Cross multiply
    16,509,713.15x = 23,161,428.10 × 16,509,713.15
  4. Step 4: Simplify right side
    16,509,713.15x = 382,388,534,075,349.56
  5. Step 5: Solve for x
    x = 382,388,534,075,349.56/16,509,713.15
  6. Step 6: Final answer
    x = 23,161,428.10

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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.