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Finding the Fourth Proportional to 411,357,530.52, 616,711,635.36 and 203,952,938.04

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Solution

The fourth proportional to 411,357,530.52, 616,711,635.36 and 203,952,938.04 is: 305,768,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,357,530.52 : 616,711,635.36 = 203,952,938.04 : x
  2. Step 2: Convert to fraction form
    411,357,530.52/616,711,635.36 = 203,952,938.04/x
  3. Step 3: Cross multiply
    411,357,530.52x = 616,711,635.36 × 203,952,938.04
  4. Step 4: Simplify right side
    411,357,530.52x = 125,780,149,955,125,152
  5. Step 5: Solve for x
    x = 125,780,149,955,125,152/411,357,530.52
  6. Step 6: Final answer
    x = 305,768,438.94

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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.