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Finding the Fourth Proportional to 188,204,030,268.60, 264,146,840,010.60 and 188,204,030,268.60

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Solution

The fourth proportional to 188,204,030,268.60, 264,146,840,010.60 and 188,204,030,268.60 is: 264,146,840,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,204,030,268.60 : 264,146,840,010.60 = 188,204,030,268.60 : x
  2. Step 2: Convert to fraction form
    188,204,030,268.60/264,146,840,010.60 = 188,204,030,268.60/x
  3. Step 3: Cross multiply
    188,204,030,268.60x = 264,146,840,010.60 × 188,204,030,268.60
  4. Step 4: Simplify right side
    188,204,030,268.60x = 49,713,499,872,710,006,669,312
  5. Step 5: Solve for x
    x = 49,713,499,872,710,006,669,312/188,204,030,268.60
  6. Step 6: Final answer
    x = 264,146,840,010.60

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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.