Finding the Fourth Proportional to 758,353,487,197.20, 1,046,605,813,524.30 and 461,402,354,974.66
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Solution
The fourth proportional to 758,353,487,197.20, 1,046,605,813,524.30 and 461,402,354,974.66 is: 636,782,707,857.07
Step by Step Solution
- Step 1: Write the proportion equation
758,353,487,197.20 : 1,046,605,813,524.30 = 461,402,354,974.66 : x - Step 2: Convert to fraction form
758,353,487,197.20/1,046,605,813,524.30 = 461,402,354,974.66/x - Step 3: Cross multiply
758,353,487,197.20x = 1,046,605,813,524.30 × 461,402,354,974.66 - Step 4: Simplify right side
758,353,487,197.20x = 482,906,387,090,281,869,606,912 - Step 5: Solve for x
x = 482,906,387,090,281,869,606,912/758,353,487,197.20 - Step 6: Final answer
x = 636,782,707,857.07
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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.