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Finding the Fourth Proportional to 196,038,231.80, 294,057,347.70 and 196,038,231.80

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Solution

The fourth proportional to 196,038,231.80, 294,057,347.70 and 196,038,231.80 is: 294,057,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,038,231.80 : 294,057,347.70 = 196,038,231.80 : x
  2. Step 2: Convert to fraction form
    196,038,231.80/294,057,347.70 = 196,038,231.80/x
  3. Step 3: Cross multiply
    196,038,231.80x = 294,057,347.70 × 196,038,231.80
  4. Step 4: Simplify right side
    196,038,231.80x = 57,646,482,490,905,800
  5. Step 5: Solve for x
    x = 57,646,482,490,905,800/196,038,231.80
  6. Step 6: Final answer
    x = 294,057,347.70

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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.