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Finding the Fourth Proportional to 773,991,644.10, 1,086,649,401.90 and 773,991,644.10

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Solution

The fourth proportional to 773,991,644.10, 1,086,649,401.90 and 773,991,644.10 is: 1,086,649,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,991,644.10 : 1,086,649,401.90 = 773,991,644.10 : x
  2. Step 2: Convert to fraction form
    773,991,644.10/1,086,649,401.90 = 773,991,644.10/x
  3. Step 3: Cross multiply
    773,991,644.10x = 1,086,649,401.90 × 773,991,644.10
  4. Step 4: Simplify right side
    773,991,644.10x = 841,057,557,136,862,720
  5. Step 5: Solve for x
    x = 841,057,557,136,862,720/773,991,644.10
  6. Step 6: Final answer
    x = 1,086,649,401.90

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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.