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Finding the Fourth Proportional to 139,968,223.08, 209,952,334.61 and 139,968,223.08

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Solution

The fourth proportional to 139,968,223.08, 209,952,334.61 and 139,968,223.08 is: 209,952,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,223.08 : 209,952,334.61 = 139,968,223.08 : x
  2. Step 2: Convert to fraction form
    139,968,223.08/209,952,334.61 = 139,968,223.08/x
  3. Step 3: Cross multiply
    139,968,223.08x = 209,952,334.61 × 139,968,223.08
  4. Step 4: Simplify right side
    139,968,223.08x = 29,386,655,206,859,288
  5. Step 5: Solve for x
    x = 29,386,655,206,859,288/139,968,223.08
  6. Step 6: Final answer
    x = 209,952,334.61

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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.