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Finding the Fourth Proportional to 20,308,208,084.80, 30,404,981,234.40 and 20,308,208,084.80

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Solution

The fourth proportional to 20,308,208,084.80, 30,404,981,234.40 and 20,308,208,084.80 is: 30,404,981,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308,208,084.80 : 30,404,981,234.40 = 20,308,208,084.80 : x
  2. Step 2: Convert to fraction form
    20,308,208,084.80/30,404,981,234.40 = 20,308,208,084.80/x
  3. Step 3: Cross multiply
    20,308,208,084.80x = 30,404,981,234.40 × 20,308,208,084.80
  4. Step 4: Simplify right side
    20,308,208,084.80x = 617,470,685,722,634,354,688
  5. Step 5: Solve for x
    x = 617,470,685,722,634,354,688/20,308,208,084.80
  6. Step 6: Final answer
    x = 30,404,981,234.40

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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.