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Finding the Fourth Proportional to 590,975,999.85, 886,463,999.78 and 590,975,999.85

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Solution

The fourth proportional to 590,975,999.85, 886,463,999.78 and 590,975,999.85 is: 886,463,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,975,999.85 : 886,463,999.78 = 590,975,999.85 : x
  2. Step 2: Convert to fraction form
    590,975,999.85/886,463,999.78 = 590,975,999.85/x
  3. Step 3: Cross multiply
    590,975,999.85x = 886,463,999.78 × 590,975,999.85
  4. Step 4: Simplify right side
    590,975,999.85x = 523,878,948,598,060,800
  5. Step 5: Solve for x
    x = 523,878,948,598,060,800/590,975,999.85
  6. Step 6: Final answer
    x = 886,463,999.78

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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.