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Finding the Fourth Proportional to 659,787,375.01, 989,896,044.63 and 314,696,096.05

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Solution

The fourth proportional to 659,787,375.01, 989,896,044.63 and 314,696,096.05 is: 472,146,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,787,375.01 : 989,896,044.63 = 314,696,096.05 : x
  2. Step 2: Convert to fraction form
    659,787,375.01/989,896,044.63 = 314,696,096.05/x
  3. Step 3: Cross multiply
    659,787,375.01x = 989,896,044.63 × 314,696,096.05
  4. Step 4: Simplify right side
    659,787,375.01x = 311,516,420,740,397,568
  5. Step 5: Solve for x
    x = 311,516,420,740,397,568/659,787,375.01
  6. Step 6: Final answer
    x = 472,146,683.22

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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.