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Finding the Fourth Proportional to 309,461,185.20, 464,191,777.80 and 309,461,185.20

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Solution

The fourth proportional to 309,461,185.20, 464,191,777.80 and 309,461,185.20 is: 464,191,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,461,185.20 : 464,191,777.80 = 309,461,185.20 : x
  2. Step 2: Convert to fraction form
    309,461,185.20/464,191,777.80 = 309,461,185.20/x
  3. Step 3: Cross multiply
    309,461,185.20x = 464,191,777.80 × 309,461,185.20
  4. Step 4: Simplify right side
    309,461,185.20x = 143,649,337,718,083,040
  5. Step 5: Solve for x
    x = 143,649,337,718,083,040/309,461,185.20
  6. Step 6: Final answer
    x = 464,191,777.80

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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.