Finding the Fourth Proportional to 2,948,275,769,543, 4,068,268,190,993.60 and 1,629,709,803,861.60
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Solution
The fourth proportional to 2,948,275,769,543, 4,068,268,190,993.60 and 1,629,709,803,861.60 is: 2,248,804,750,251.80
Step by Step Solution
- Step 1: Write the proportion equation
2,948,275,769,543 : 4,068,268,190,993.60 = 1,629,709,803,861.60 : x - Step 2: Convert to fraction form
2,948,275,769,543/4,068,268,190,993.60 = 1,629,709,803,861.60/x - Step 3: Cross multiply
2,948,275,769,543x = 4,068,268,190,993.60 × 1,629,709,803,861.60 - Step 4: Simplify right side
2,948,275,769,543x = 6,630,096,555,600,566,827,352,064 - Step 5: Solve for x
x = 6,630,096,555,600,566,827,352,064/2,948,275,769,543 - Step 6: Final answer
x = 2,248,804,750,251.80
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.