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Finding the Fourth Proportional to 139,968,313.10, 209,952,469.65 and 139,968,313.10

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Solution

The fourth proportional to 139,968,313.10, 209,952,469.65 and 139,968,313.10 is: 209,952,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,313.10 : 209,952,469.65 = 139,968,313.10 : x
  2. Step 2: Convert to fraction form
    139,968,313.10/209,952,469.65 = 139,968,313.10/x
  3. Step 3: Cross multiply
    139,968,313.10x = 209,952,469.65 × 139,968,313.10
  4. Step 4: Simplify right side
    139,968,313.10x = 29,386,693,008,089,448
  5. Step 5: Solve for x
    x = 29,386,693,008,089,448/139,968,313.10
  6. Step 6: Final answer
    x = 209,952,469.65

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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.