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Finding the Fourth Proportional to 229,330,729.40, 321,970,013.80 and 229,330,729.40

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Solution

The fourth proportional to 229,330,729.40, 321,970,013.80 and 229,330,729.40 is: 321,970,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,330,729.40 : 321,970,013.80 = 229,330,729.40 : x
  2. Step 2: Convert to fraction form
    229,330,729.40/321,970,013.80 = 229,330,729.40/x
  3. Step 3: Cross multiply
    229,330,729.40x = 321,970,013.80 × 229,330,729.40
  4. Step 4: Simplify right side
    229,330,729.40x = 73,837,618,109,682,064
  5. Step 5: Solve for x
    x = 73,837,618,109,682,064/229,330,729.40
  6. Step 6: Final answer
    x = 321,970,013.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.