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Finding the Fourth Proportional to 824,925,176.64, 1,237,978,784.70 and 300,293,182.44

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Solution

The fourth proportional to 824,925,176.64, 1,237,978,784.70 and 300,293,182.44 is: 450,654,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,925,176.64 : 1,237,978,784.70 = 300,293,182.44 : x
  2. Step 2: Convert to fraction form
    824,925,176.64/1,237,978,784.70 = 300,293,182.44/x
  3. Step 3: Cross multiply
    824,925,176.64x = 1,237,978,784.70 × 300,293,182.44
  4. Step 4: Simplify right side
    824,925,176.64x = 371,756,589,050,766,592
  5. Step 5: Solve for x
    x = 371,756,589,050,766,592/824,925,176.64
  6. Step 6: Final answer
    x = 450,654,919.47

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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.