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Finding the Fourth Proportional to 241,972,019,986.90, 362,958,029,980.35 and 241,972,019,986.90

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Solution

The fourth proportional to 241,972,019,986.90, 362,958,029,980.35 and 241,972,019,986.90 is: 362,958,029,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,972,019,986.90 : 362,958,029,980.35 = 241,972,019,986.90 : x
  2. Step 2: Convert to fraction form
    241,972,019,986.90/362,958,029,980.35 = 241,972,019,986.90/x
  3. Step 3: Cross multiply
    241,972,019,986.90x = 362,958,029,980.35 × 241,972,019,986.90
  4. Step 4: Simplify right side
    241,972,019,986.90x = 87,825,687,684,811,088,461,824
  5. Step 5: Solve for x
    x = 87,825,687,684,811,088,461,824/241,972,019,986.90
  6. Step 6: Final answer
    x = 362,958,029,980.35

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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.