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Finding the Fourth Proportional to 272,477,496.45, 408,716,244.69 and 272,477,496.45

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Solution

The fourth proportional to 272,477,496.45, 408,716,244.69 and 272,477,496.45 is: 408,716,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,477,496.45 : 408,716,244.69 = 272,477,496.45 : x
  2. Step 2: Convert to fraction form
    272,477,496.45/408,716,244.69 = 272,477,496.45/x
  3. Step 3: Cross multiply
    272,477,496.45x = 408,716,244.69 × 272,477,496.45
  4. Step 4: Simplify right side
    272,477,496.45x = 111,365,979,111,576,800
  5. Step 5: Solve for x
    x = 111,365,979,111,576,800/272,477,496.45
  6. Step 6: Final answer
    x = 408,716,244.69

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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.