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Finding the Fourth Proportional to 386,900,927.40, 580,351,391.10 and 386,900,927.40

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Solution

The fourth proportional to 386,900,927.40, 580,351,391.10 and 386,900,927.40 is: 580,351,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,900,927.40 : 580,351,391.10 = 386,900,927.40 : x
  2. Step 2: Convert to fraction form
    386,900,927.40/580,351,391.10 = 386,900,927.40/x
  3. Step 3: Cross multiply
    386,900,927.40x = 580,351,391.10 × 386,900,927.40
  4. Step 4: Simplify right side
    386,900,927.40x = 224,538,491,434,470,112
  5. Step 5: Solve for x
    x = 224,538,491,434,470,112/386,900,927.40
  6. Step 6: Final answer
    x = 580,351,391.10

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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.