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Finding the Fourth Proportional to 6,331,567,104,072, 9,497,350,656,107.90 and 6,331,567,104,072

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Solution

The fourth proportional to 6,331,567,104,072, 9,497,350,656,107.90 and 6,331,567,104,072 is: 9,497,350,656,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331,567,104,072 : 9,497,350,656,107.90 = 6,331,567,104,072 : x
  2. Step 2: Convert to fraction form
    6,331,567,104,072/9,497,350,656,107.90 = 6,331,567,104,072/x
  3. Step 3: Cross multiply
    6,331,567,104,072x = 9,497,350,656,107.90 × 6,331,567,104,072
  4. Step 4: Simplify right side
    6,331,567,104,072x = 60,133,112,990,049,405,671,309,312
  5. Step 5: Solve for x
    x = 60,133,112,990,049,405,671,309,312/6,331,567,104,072
  6. Step 6: Final answer
    x = 9,497,350,656,107.90

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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.