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Finding the Fourth Proportional to 476,449,784.96, 714,368,803.48 and 185,006,359.56

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Solution

The fourth proportional to 476,449,784.96, 714,368,803.48 and 185,006,359.56 is: 277,390,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,449,784.96 : 714,368,803.48 = 185,006,359.56 : x
  2. Step 2: Convert to fraction form
    476,449,784.96/714,368,803.48 = 185,006,359.56/x
  3. Step 3: Cross multiply
    476,449,784.96x = 714,368,803.48 × 185,006,359.56
  4. Step 4: Simplify right side
    476,449,784.96x = 132,162,771,715,067,872
  5. Step 5: Solve for x
    x = 132,162,771,715,067,872/476,449,784.96
  6. Step 6: Final answer
    x = 277,390,767.90

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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.