Finding the Fourth Proportional to 425,121,875,212.44, 638,136,606,214.04 and 183,218,365,641.67
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Solution
The fourth proportional to 425,121,875,212.44, 638,136,606,214.04 and 183,218,365,641.67 is: 275,023,123,635.39
Step by Step Solution
- Step 1: Write the proportion equation
425,121,875,212.44 : 638,136,606,214.04 = 183,218,365,641.67 : x - Step 2: Convert to fraction form
425,121,875,212.44/638,136,606,214.04 = 183,218,365,641.67/x - Step 3: Cross multiply
425,121,875,212.44x = 638,136,606,214.04 × 183,218,365,641.67 - Step 4: Simplify right side
425,121,875,212.44x = 116,918,346,046,658,387,640,320 - Step 5: Solve for x
x = 116,918,346,046,658,387,640,320/425,121,875,212.44 - Step 6: Final answer
x = 275,023,123,635.39
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.