Finding the Fourth Proportional to 65,905,754,705,296, 90,944,029,999,024 and 38,160,580,209,590
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Solution
The fourth proportional to 65,905,754,705,296, 90,944,029,999,024 and 38,160,580,209,590 is: 52,658,177,831,051.17
Step by Step Solution
- Step 1: Write the proportion equation
65,905,754,705,296 : 90,944,029,999,024 = 38,160,580,209,590 : x - Step 2: Convert to fraction form
65,905,754,705,296/90,944,029,999,024 = 38,160,580,209,590/x - Step 3: Cross multiply
65,905,754,705,296x = 90,944,029,999,024 × 38,160,580,209,590 - Step 4: Simplify right side
65,905,754,705,296x = 3,470,476,951,361,114,489,065,832,448 - Step 5: Solve for x
x = 3,470,476,951,361,114,489,065,832,448/65,905,754,705,296 - Step 6: Final answer
x = 52,658,177,831,051.17
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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.