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Finding the Fourth Proportional to 229,803,945,793.20, 344,705,918,689.80 and 229,803,945,793.20

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Solution

The fourth proportional to 229,803,945,793.20, 344,705,918,689.80 and 229,803,945,793.20 is: 344,705,918,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,803,945,793.20 : 344,705,918,689.80 = 229,803,945,793.20 : x
  2. Step 2: Convert to fraction form
    229,803,945,793.20/344,705,918,689.80 = 229,803,945,793.20/x
  3. Step 3: Cross multiply
    229,803,945,793.20x = 344,705,918,689.80 × 229,803,945,793.20
  4. Step 4: Simplify right side
    229,803,945,793.20x = 79,214,780,253,186,010,644,480
  5. Step 5: Solve for x
    x = 79,214,780,253,186,010,644,480/229,803,945,793.20
  6. Step 6: Final answer
    x = 344,705,918,689.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.