Finding the Fourth Proportional to 1,210,630,564,563.30, 1,670,670,320,749.60 and 661,922,241,197.26
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Solution
The fourth proportional to 1,210,630,564,563.30, 1,670,670,320,749.60 and 661,922,241,197.26 is: 913,452,770,301.75
Step by Step Solution
- Step 1: Write the proportion equation
1,210,630,564,563.30 : 1,670,670,320,749.60 = 661,922,241,197.26 : x - Step 2: Convert to fraction form
1,210,630,564,563.30/1,670,670,320,749.60 = 661,922,241,197.26/x - Step 3: Cross multiply
1,210,630,564,563.30x = 1,670,670,320,749.60 × 661,922,241,197.26 - Step 4: Simplify right side
1,210,630,564,563.30x = 1,105,853,843,012,320,474,693,632 - Step 5: Solve for x
x = 1,105,853,843,012,320,474,693,632/1,210,630,564,563.30 - Step 6: Final answer
x = 913,452,770,301.75
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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.