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Finding the Fourth Proportional to 647,716,611.44, 971,574,880.26 and 181,447,068.74

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Solution

The fourth proportional to 647,716,611.44, 971,574,880.26 and 181,447,068.74 is: 272,170,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,716,611.44 : 971,574,880.26 = 181,447,068.74 : x
  2. Step 2: Convert to fraction form
    647,716,611.44/971,574,880.26 = 181,447,068.74/x
  3. Step 3: Cross multiply
    647,716,611.44x = 971,574,880.26 × 181,447,068.74
  4. Step 4: Simplify right side
    647,716,611.44x = 176,289,414,084,593,504
  5. Step 5: Solve for x
    x = 176,289,414,084,593,504/647,716,611.44
  6. Step 6: Final answer
    x = 272,170,592.77

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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.