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Finding the Fourth Proportional to 185,131,496,191.80, 277,697,244,287.70 and 185,131,496,191.80

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Solution

The fourth proportional to 185,131,496,191.80, 277,697,244,287.70 and 185,131,496,191.80 is: 277,697,244,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,131,496,191.80 : 277,697,244,287.70 = 185,131,496,191.80 : x
  2. Step 2: Convert to fraction form
    185,131,496,191.80/277,697,244,287.70 = 185,131,496,191.80/x
  3. Step 3: Cross multiply
    185,131,496,191.80x = 277,697,244,287.70 × 185,131,496,191.80
  4. Step 4: Simplify right side
    185,131,496,191.80x = 51,410,506,323,321,683,968,000
  5. Step 5: Solve for x
    x = 51,410,506,323,321,683,968,000/185,131,496,191.80
  6. Step 6: Final answer
    x = 277,697,244,287.70

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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.