Finding the Fourth Proportional to 803,893,902,625.80, 1,109,373,816,165.50 and 438,088,208,557.14
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Solution
The fourth proportional to 803,893,902,625.80, 1,109,373,816,165.50 and 438,088,208,557.14 is: 604,561,853,444.45
Step by Step Solution
- Step 1: Write the proportion equation
803,893,902,625.80 : 1,109,373,816,165.50 = 438,088,208,557.14 : x - Step 2: Convert to fraction form
803,893,902,625.80/1,109,373,816,165.50 = 438,088,208,557.14/x - Step 3: Cross multiply
803,893,902,625.80x = 1,109,373,816,165.50 × 438,088,208,557.14 - Step 4: Simplify right side
803,893,902,625.80x = 486,003,587,744,141,854,900,224 - Step 5: Solve for x
x = 486,003,587,744,141,854,900,224/803,893,902,625.80 - Step 6: Final answer
x = 604,561,853,444.45
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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.