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Finding the Fourth Proportional to 360,118,205.10, 505,525,976.10 and 360,118,205.10

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Solution

The fourth proportional to 360,118,205.10, 505,525,976.10 and 360,118,205.10 is: 505,525,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,118,205.10 : 505,525,976.10 = 360,118,205.10 : x
  2. Step 2: Convert to fraction form
    360,118,205.10/505,525,976.10 = 360,118,205.10/x
  3. Step 3: Cross multiply
    360,118,205.10x = 505,525,976.10 × 360,118,205.10
  4. Step 4: Simplify right side
    360,118,205.10x = 182,049,107,144,557,504
  5. Step 5: Solve for x
    x = 182,049,107,144,557,504/360,118,205.10
  6. Step 6: Final answer
    x = 505,525,976.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.