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Finding the Fourth Proportional to 537,666,955.65, 741,951,613.56 and 296,255,438.85

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Solution

The fourth proportional to 537,666,955.65, 741,951,613.56 and 296,255,438.85 is: 408,816,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,666,955.65 : 741,951,613.56 = 296,255,438.85 : x
  2. Step 2: Convert to fraction form
    537,666,955.65/741,951,613.56 = 296,255,438.85/x
  3. Step 3: Cross multiply
    537,666,955.65x = 741,951,613.56 × 296,255,438.85
  4. Step 4: Simplify right side
    537,666,955.65x = 219,807,200,884,572,224
  5. Step 5: Solve for x
    x = 219,807,200,884,572,224/537,666,955.65
  6. Step 6: Final answer
    x = 408,816,644.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.