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Finding the Fourth Proportional to 258,168,604.50, 356,272,681.50 and 142,275,100.50

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Solution

The fourth proportional to 258,168,604.50, 356,272,681.50 and 142,275,100.50 is: 196,339,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,168,604.50 : 356,272,681.50 = 142,275,100.50 : x
  2. Step 2: Convert to fraction form
    258,168,604.50/356,272,681.50 = 142,275,100.50/x
  3. Step 3: Cross multiply
    258,168,604.50x = 356,272,681.50 × 142,275,100.50
  4. Step 4: Simplify right side
    258,168,604.50x = 50,688,731,565,816,992
  5. Step 5: Solve for x
    x = 50,688,731,565,816,992/258,168,604.50
  6. Step 6: Final answer
    x = 196,339,642.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.