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Finding the Fourth Proportional to 213,907,814.40, 320,861,721.60 and 213,907,814.40

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Solution

The fourth proportional to 213,907,814.40, 320,861,721.60 and 213,907,814.40 is: 320,861,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,907,814.40 : 320,861,721.60 = 213,907,814.40 : x
  2. Step 2: Convert to fraction form
    213,907,814.40/320,861,721.60 = 213,907,814.40/x
  3. Step 3: Cross multiply
    213,907,814.40x = 320,861,721.60 × 213,907,814.40
  4. Step 4: Simplify right side
    213,907,814.40x = 68,634,829,592,077,280
  5. Step 5: Solve for x
    x = 68,634,829,592,077,280/213,907,814.40
  6. Step 6: Final answer
    x = 320,861,721.60

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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.