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Finding the Fourth Proportional to 6,331,567,104,050, 9,497,350,656,075 and 6,331,567,104,050

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Solution

The fourth proportional to 6,331,567,104,050, 9,497,350,656,075 and 6,331,567,104,050 is: 9,497,350,656,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331,567,104,050 : 9,497,350,656,075 = 6,331,567,104,050 : x
  2. Step 2: Convert to fraction form
    6,331,567,104,050/9,497,350,656,075 = 6,331,567,104,050/x
  3. Step 3: Cross multiply
    6,331,567,104,050x = 9,497,350,656,075 × 6,331,567,104,050
  4. Step 4: Simplify right side
    6,331,567,104,050x = 60,133,112,989,632,158,188,437,504
  5. Step 5: Solve for x
    x = 60,133,112,989,632,158,188,437,504/6,331,567,104,050
  6. Step 6: Final answer
    x = 9,497,350,656,075

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1.5x scale

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.