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Finding the Fourth Proportional to 258,811,766,999.60, 388,217,650,499.40 and 258,811,766,999.60

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Solution

The fourth proportional to 258,811,766,999.60, 388,217,650,499.40 and 258,811,766,999.60 is: 388,217,650,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,811,766,999.60 : 388,217,650,499.40 = 258,811,766,999.60 : x
  2. Step 2: Convert to fraction form
    258,811,766,999.60/388,217,650,499.40 = 258,811,766,999.60/x
  3. Step 3: Cross multiply
    258,811,766,999.60x = 388,217,650,499.40 × 258,811,766,999.60
  4. Step 4: Simplify right side
    258,811,766,999.60x = 100,475,296,106,182,873,186,304
  5. Step 5: Solve for x
    x = 100,475,296,106,182,873,186,304/258,811,766,999.60
  6. Step 6: Final answer
    x = 388,217,650,499.40

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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.