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Finding the Fourth Proportional to 565,582,674.86, 780,491,861.10 and 327,437,901.01

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Solution

The fourth proportional to 565,582,674.86, 780,491,861.10 and 327,437,901.01 is: 451,857,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,582,674.86 : 780,491,861.10 = 327,437,901.01 : x
  2. Step 2: Convert to fraction form
    565,582,674.86/780,491,861.10 = 327,437,901.01/x
  3. Step 3: Cross multiply
    565,582,674.86x = 780,491,861.10 × 327,437,901.01
  4. Step 4: Simplify right side
    565,582,674.86x = 255,562,616,754,791,040
  5. Step 5: Solve for x
    x = 255,562,616,754,791,040/565,582,674.86
  6. Step 6: Final answer
    x = 451,857,222.85

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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.