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Finding the Fourth Proportional to 196,992,409.20, 295,488,613.80 and 186,410,828.40

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Solution

The fourth proportional to 196,992,409.20, 295,488,613.80 and 186,410,828.40 is: 279,616,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992,409.20 : 295,488,613.80 = 186,410,828.40 : x
  2. Step 2: Convert to fraction form
    196,992,409.20/295,488,613.80 = 186,410,828.40/x
  3. Step 3: Cross multiply
    196,992,409.20x = 295,488,613.80 × 186,410,828.40
  4. Step 4: Simplify right side
    196,992,409.20x = 55,082,277,281,225,672
  5. Step 5: Solve for x
    x = 55,082,277,281,225,672/196,992,409.20
  6. Step 6: Final answer
    x = 279,616,242.60

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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.