Finding the Fourth Proportional to 2,048,955,310.71, 2,827,577,822.53 and 1,202,197,039.75
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Solution
The fourth proportional to 2,048,955,310.71, 2,827,577,822.53 and 1,202,197,039.75 is: 1,659,043,352.54
Step by Step Solution
- Step 1: Write the proportion equation
2,048,955,310.71 : 2,827,577,822.53 = 1,202,197,039.75 : x - Step 2: Convert to fraction form
2,048,955,310.71/2,827,577,822.53 = 1,202,197,039.75/x - Step 3: Cross multiply
2,048,955,310.71x = 2,827,577,822.53 × 1,202,197,039.75 - Step 4: Simplify right side
2,048,955,310.71x = 3,399,305,687,888,167,936 - Step 5: Solve for x
x = 3,399,305,687,888,167,936/2,048,955,310.71 - Step 6: Final answer
x = 1,659,043,352.54
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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.