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Finding the Fourth Proportional to 196,857,695.80, 295,286,543.70 and 196,857,695.80

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Solution

The fourth proportional to 196,857,695.80, 295,286,543.70 and 196,857,695.80 is: 295,286,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857,695.80 : 295,286,543.70 = 196,857,695.80 : x
  2. Step 2: Convert to fraction form
    196,857,695.80/295,286,543.70 = 196,857,695.80/x
  3. Step 3: Cross multiply
    196,857,695.80x = 295,286,543.70 × 196,857,695.80
  4. Step 4: Simplify right side
    196,857,695.80x = 58,129,428,593,528,008
  5. Step 5: Solve for x
    x = 58,129,428,593,528,008/196,857,695.80
  6. Step 6: Final answer
    x = 295,286,543.70

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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.