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Finding the Fourth Proportional to 196,507,445.40, 294,194,297.70 and 196,507,445.40

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Solution

The fourth proportional to 196,507,445.40, 294,194,297.70 and 196,507,445.40 is: 294,194,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,507,445.40 : 294,194,297.70 = 196,507,445.40 : x
  2. Step 2: Convert to fraction form
    196,507,445.40/294,194,297.70 = 196,507,445.40/x
  3. Step 3: Cross multiply
    196,507,445.40x = 294,194,297.70 × 196,507,445.40
  4. Step 4: Simplify right side
    196,507,445.40x = 57,811,369,892,274,096
  5. Step 5: Solve for x
    x = 57,811,369,892,274,096/196,507,445.40
  6. Step 6: Final answer
    x = 294,194,297.70

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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.