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Finding the Fourth Proportional to 13,775,355,268.20, 19,322,230,577.40 and 13,775,355,268.20

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Solution

The fourth proportional to 13,775,355,268.20, 19,322,230,577.40 and 13,775,355,268.20 is: 19,322,230,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775,355,268.20 : 19,322,230,577.40 = 13,775,355,268.20 : x
  2. Step 2: Convert to fraction form
    13,775,355,268.20/19,322,230,577.40 = 13,775,355,268.20/x
  3. Step 3: Cross multiply
    13,775,355,268.20x = 19,322,230,577.40 × 13,775,355,268.20
  4. Step 4: Simplify right side
    13,775,355,268.20x = 266,170,590,777,762,250,752
  5. Step 5: Solve for x
    x = 266,170,590,777,762,250,752/13,775,355,268.20
  6. Step 6: Final answer
    x = 19,322,230,577.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.