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Finding the Fourth Proportional to 213,537,270.30, 320,305,905.45 and 213,537,270.30

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Solution

The fourth proportional to 213,537,270.30, 320,305,905.45 and 213,537,270.30 is: 320,305,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,537,270.30 : 320,305,905.45 = 213,537,270.30 : x
  2. Step 2: Convert to fraction form
    213,537,270.30/320,305,905.45 = 213,537,270.30/x
  3. Step 3: Cross multiply
    213,537,270.30x = 320,305,905.45 × 213,537,270.30
  4. Step 4: Simplify right side
    213,537,270.30x = 68,397,248,710,762,896
  5. Step 5: Solve for x
    x = 68,397,248,710,762,896/213,537,270.30
  6. Step 6: Final answer
    x = 320,305,905.45

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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.