Finding the Fourth Proportional to 680,245,917,295.84, 938,767,884,973.42 and 391,214,402,354.29
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Solution
The fourth proportional to 680,245,917,295.84, 938,767,884,973.42 and 391,214,402,354.29 is: 539,892,276,794.89
Step by Step Solution
- Step 1: Write the proportion equation
680,245,917,295.84 : 938,767,884,973.42 = 391,214,402,354.29 : x - Step 2: Convert to fraction form
680,245,917,295.84/938,767,884,973.42 = 391,214,402,354.29/x - Step 3: Cross multiply
680,245,917,295.84x = 938,767,884,973.42 × 391,214,402,354.29 - Step 4: Simplify right side
680,245,917,295.84x = 367,259,517,069,277,379,166,208 - Step 5: Solve for x
x = 367,259,517,069,277,379,166,208/680,245,917,295.84 - Step 6: Final answer
x = 539,892,276,794.89
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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.