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Finding the Fourth Proportional to 13,543,574,868,986, 20,315,362,303,480 and 13,543,574,868,986

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Solution

The fourth proportional to 13,543,574,868,986, 20,315,362,303,480 and 13,543,574,868,986 is: 20,315,362,303,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543,574,868,986 : 20,315,362,303,480 = 13,543,574,868,986 : x
  2. Step 2: Convert to fraction form
    13,543,574,868,986/20,315,362,303,480 = 13,543,574,868,986/x
  3. Step 3: Cross multiply
    13,543,574,868,986x = 20,315,362,303,480 × 13,543,574,868,986
  4. Step 4: Simplify right side
    13,543,574,868,986x = 275,142,630,347,757,268,351,582,208
  5. Step 5: Solve for x
    x = 275,142,630,347,757,268,351,582,208/13,543,574,868,986
  6. Step 6: Final answer
    x = 20,315,362,303,480

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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.