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Finding the Fourth Proportional to 360,435,618.10, 505,757,777.90 and 360,435,618.10

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Solution

The fourth proportional to 360,435,618.10, 505,757,777.90 and 360,435,618.10 is: 505,757,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,435,618.10 : 505,757,777.90 = 360,435,618.10 : x
  2. Step 2: Convert to fraction form
    360,435,618.10/505,757,777.90 = 360,435,618.10/x
  3. Step 3: Cross multiply
    360,435,618.10x = 505,757,777.90 × 360,435,618.10
  4. Step 4: Simplify right side
    360,435,618.10x = 182,293,117,286,269,024
  5. Step 5: Solve for x
    x = 182,293,117,286,269,024/360,435,618.10
  6. Step 6: Final answer
    x = 505,757,777.90

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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.