Finding the Fourth Proportional to 10,740,070,600,583, 14,824,055,076,606 and 6,995,087,368,342.80
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Solution
The fourth proportional to 10,740,070,600,583, 14,824,055,076,606 and 6,995,087,368,342.80 is: 9,655,016,644,709.55
Step by Step Solution
- Step 1: Write the proportion equation
10,740,070,600,583 : 14,824,055,076,606 = 6,995,087,368,342.80 : x - Step 2: Convert to fraction form
10,740,070,600,583/14,824,055,076,606 = 6,995,087,368,342.80/x - Step 3: Cross multiply
10,740,070,600,583x = 14,824,055,076,606 × 6,995,087,368,342.80 - Step 4: Simplify right side
10,740,070,600,583x = 103,695,560,413,984,590,477,131,776 - Step 5: Solve for x
x = 103,695,560,413,984,590,477,131,776/10,740,070,600,583 - Step 6: Final answer
x = 9,655,016,644,709.55
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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.