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Finding the Fourth Proportional to 13,286,502.30, 19,898,260.65 and 13,286,502.30

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Solution

The fourth proportional to 13,286,502.30, 19,898,260.65 and 13,286,502.30 is: 19,898,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286,502.30 : 19,898,260.65 = 13,286,502.30 : x
  2. Step 2: Convert to fraction form
    13,286,502.30/19,898,260.65 = 13,286,502.30/x
  3. Step 3: Cross multiply
    13,286,502.30x = 19,898,260.65 × 13,286,502.30
  4. Step 4: Simplify right side
    13,286,502.30x = 264,378,285,892,224.50
  5. Step 5: Solve for x
    x = 264,378,285,892,224.50/13,286,502.30
  6. Step 6: Final answer
    x = 19,898,260.65

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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.