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Finding the Fourth Proportional to 213,144,080.70, 319,716,121.05 and 213,144,080.70

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Solution

The fourth proportional to 213,144,080.70, 319,716,121.05 and 213,144,080.70 is: 319,716,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144,080.70 : 319,716,121.05 = 213,144,080.70 : x
  2. Step 2: Convert to fraction form
    213,144,080.70/319,716,121.05 = 213,144,080.70/x
  3. Step 3: Cross multiply
    213,144,080.70x = 319,716,121.05 × 213,144,080.70
  4. Step 4: Simplify right side
    213,144,080.70x = 68,145,598,706,172,168
  5. Step 5: Solve for x
    x = 68,145,598,706,172,168/213,144,080.70
  6. Step 6: Final answer
    x = 319,716,121.05

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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.