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Finding the Fourth Proportional to 360,118,209.85, 505,525,982.75 and 360,118,209.85

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Solution

The fourth proportional to 360,118,209.85, 505,525,982.75 and 360,118,209.85 is: 505,525,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,118,209.85 : 505,525,982.75 = 360,118,209.85 : x
  2. Step 2: Convert to fraction form
    360,118,209.85/505,525,982.75 = 360,118,209.85/x
  3. Step 3: Cross multiply
    360,118,209.85x = 505,525,982.75 × 360,118,209.85
  4. Step 4: Simplify right side
    360,118,209.85x = 182,049,111,940,592,000
  5. Step 5: Solve for x
    x = 182,049,111,940,592,000/360,118,209.85
  6. Step 6: Final answer
    x = 505,525,982.75

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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.