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Finding the Fourth Proportional to 560,097,784.80, 839,894,734.80 and 214,936,696.80

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Solution

The fourth proportional to 560,097,784.80, 839,894,734.80 and 214,936,696.80 is: 322,308,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,097,784.80 : 839,894,734.80 = 214,936,696.80 : x
  2. Step 2: Convert to fraction form
    560,097,784.80/839,894,734.80 = 214,936,696.80/x
  3. Step 3: Cross multiply
    560,097,784.80x = 839,894,734.80 × 214,936,696.80
  4. Step 4: Simplify right side
    560,097,784.80x = 180,524,199,957,624,000
  5. Step 5: Solve for x
    x = 180,524,199,957,624,000/560,097,784.80
  6. Step 6: Final answer
    x = 322,308,362.68

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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.