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Finding the Fourth Proportional to 224,662,523.20, 336,993,784.80 and 188,382,817.60

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Solution

The fourth proportional to 224,662,523.20, 336,993,784.80 and 188,382,817.60 is: 282,574,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,662,523.20 : 336,993,784.80 = 188,382,817.60 : x
  2. Step 2: Convert to fraction form
    224,662,523.20/336,993,784.80 = 188,382,817.60/x
  3. Step 3: Cross multiply
    224,662,523.20x = 336,993,784.80 × 188,382,817.60
  4. Step 4: Simplify right side
    224,662,523.20x = 63,483,838,694,312,056
  5. Step 5: Solve for x
    x = 63,483,838,694,312,056/224,662,523.20
  6. Step 6: Final answer
    x = 282,574,226.40

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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.