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Finding the Fourth Proportional to 14,209,097.10, 21,313,645.65 and 14,209,097.10

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Solution

The fourth proportional to 14,209,097.10, 21,313,645.65 and 14,209,097.10 is: 21,313,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209,097.10 : 21,313,645.65 = 14,209,097.10 : x
  2. Step 2: Convert to fraction form
    14,209,097.10/21,313,645.65 = 14,209,097.10/x
  3. Step 3: Cross multiply
    14,209,097.10x = 21,313,645.65 × 14,209,097.10
  4. Step 4: Simplify right side
    14,209,097.10x = 302,847,660,595,842.56
  5. Step 5: Solve for x
    x = 302,847,660,595,842.56/14,209,097.10
  6. Step 6: Final answer
    x = 21,313,645.65

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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.