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Finding the Fourth Proportional to 459,079,709.10, 644,072,081.70 and 459,079,709.10

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Solution

The fourth proportional to 459,079,709.10, 644,072,081.70 and 459,079,709.10 is: 644,072,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,079,709.10 : 644,072,081.70 = 459,079,709.10 : x
  2. Step 2: Convert to fraction form
    459,079,709.10/644,072,081.70 = 459,079,709.10/x
  3. Step 3: Cross multiply
    459,079,709.10x = 644,072,081.70 × 459,079,709.10
  4. Step 4: Simplify right side
    459,079,709.10x = 295,680,423,906,267,456
  5. Step 5: Solve for x
    x = 295,680,423,906,267,456/459,079,709.10
  6. Step 6: Final answer
    x = 644,072,081.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.