Finding the Fourth Proportional to 1,306,425,832.09, 1,802,864,491.86 and 711,715,203.43
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Solution
The fourth proportional to 1,306,425,832.09, 1,802,864,491.86 and 711,715,203.43 is: 982,165,261.18
Step by Step Solution
- Step 1: Write the proportion equation
1,306,425,832.09 : 1,802,864,491.86 = 711,715,203.43 : x - Step 2: Convert to fraction form
1,306,425,832.09/1,802,864,491.86 = 711,715,203.43/x - Step 3: Cross multiply
1,306,425,832.09x = 1,802,864,491.86 × 711,715,203.43 - Step 4: Simplify right side
1,306,425,832.09x = 1,283,126,068,580,863,232 - Step 5: Solve for x
x = 1,283,126,068,580,863,232/1,306,425,832.09 - Step 6: Final answer
x = 982,165,261.18
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1.5x scale
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.