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Finding the Fourth Proportional to 69,095,643,485.10, 103,643,465,227.65 and 69,095,643,485.10

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Solution

The fourth proportional to 69,095,643,485.10, 103,643,465,227.65 and 69,095,643,485.10 is: 103,643,465,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095,643,485.10 : 103,643,465,227.65 = 69,095,643,485.10 : x
  2. Step 2: Convert to fraction form
    69,095,643,485.10/103,643,465,227.65 = 69,095,643,485.10/x
  3. Step 3: Cross multiply
    69,095,643,485.10x = 103,643,465,227.65 × 69,095,643,485.10
  4. Step 4: Simplify right side
    69,095,643,485.10x = 7,161,311,922,930,063,507,456
  5. Step 5: Solve for x
    x = 7,161,311,922,930,063,507,456/69,095,643,485.10
  6. Step 6: Final answer
    x = 103,643,465,227.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.