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Finding the Fourth Proportional to 71,288,667,055.80, 106,933,000,583.70 and 71,288,667,055.80

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Solution

The fourth proportional to 71,288,667,055.80, 106,933,000,583.70 and 71,288,667,055.80 is: 106,933,000,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288,667,055.80 : 106,933,000,583.70 = 71,288,667,055.80 : x
  2. Step 2: Convert to fraction form
    71,288,667,055.80/106,933,000,583.70 = 71,288,667,055.80/x
  3. Step 3: Cross multiply
    71,288,667,055.80x = 106,933,000,583.70 × 71,288,667,055.80
  4. Step 4: Simplify right side
    71,288,667,055.80x = 7,623,111,075,889,056,579,584
  5. Step 5: Solve for x
    x = 7,623,111,075,889,056,579,584/71,288,667,055.80
  6. Step 6: Final answer
    x = 106,933,000,583.70

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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.