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Finding the Fourth Proportional to 624,177,456,193.80, 936,266,184,290.70 and 624,177,456,193.80

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Solution

The fourth proportional to 624,177,456,193.80, 936,266,184,290.70 and 624,177,456,193.80 is: 936,266,184,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,177,456,193.80 : 936,266,184,290.70 = 624,177,456,193.80 : x
  2. Step 2: Convert to fraction form
    624,177,456,193.80/936,266,184,290.70 = 624,177,456,193.80/x
  3. Step 3: Cross multiply
    624,177,456,193.80x = 936,266,184,290.70 × 624,177,456,193.80
  4. Step 4: Simplify right side
    624,177,456,193.80x = 584,396,245,230,844,666,445,824
  5. Step 5: Solve for x
    x = 584,396,245,230,844,666,445,824/624,177,456,193.80
  6. Step 6: Final answer
    x = 936,266,184,290.70

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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.