Finding the Fourth Proportional to 9,292,148,014,270.80, 12,823,204,125,859 and 5,068,635,237,369.90
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Solution
The fourth proportional to 9,292,148,014,270.80, 12,823,204,125,859 and 5,068,635,237,369.90 is: 6,994,738,373,570.41
Step by Step Solution
- Step 1: Write the proportion equation
9,292,148,014,270.80 : 12,823,204,125,859 = 5,068,635,237,369.90 : x - Step 2: Convert to fraction form
9,292,148,014,270.80/12,823,204,125,859 = 5,068,635,237,369.90/x - Step 3: Cross multiply
9,292,148,014,270.80x = 12,823,204,125,859 × 5,068,635,237,369.90 - Step 4: Simplify right side
9,292,148,014,270.80x = 64,996,144,288,316,015,404,646,400 - Step 5: Solve for x
x = 64,996,144,288,316,015,404,646,400/9,292,148,014,270.80 - Step 6: Final answer
x = 6,994,738,373,570.41
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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.