Finding the Fourth Proportional to 30,427,785,266,808, 41,988,039,245,564 and 17,076,529,751,929
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Solution
The fourth proportional to 30,427,785,266,808, 41,988,039,245,564 and 17,076,529,751,929 is: 23,564,317,781,096.71
Step by Step Solution
- Step 1: Write the proportion equation
30,427,785,266,808 : 41,988,039,245,564 = 17,076,529,751,929 : x - Step 2: Convert to fraction form
30,427,785,266,808/41,988,039,245,564 = 17,076,529,751,929/x - Step 3: Cross multiply
30,427,785,266,808x = 41,988,039,245,564 × 17,076,529,751,929 - Step 4: Simplify right side
30,427,785,266,808x = 717,010,001,402,036,176,403,038,208 - Step 5: Solve for x
x = 717,010,001,402,036,176,403,038,208/30,427,785,266,808 - Step 6: Final answer
x = 23,564,317,781,096.71
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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.