Finding the Fourth Proportional to 32,626,673,753,578, 45,024,580,733,024 and 17,811,538,985,282
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Solution
The fourth proportional to 32,626,673,753,578, 45,024,580,733,024 and 17,811,538,985,282 is: 24,579,798,758,501.62
Step by Step Solution
- Step 1: Write the proportion equation
32,626,673,753,578 : 45,024,580,733,024 = 17,811,538,985,282 : x - Step 2: Convert to fraction form
32,626,673,753,578/45,024,580,733,024 = 17,811,538,985,282/x - Step 3: Cross multiply
32,626,673,753,578x = 45,024,580,733,024 × 17,811,538,985,282 - Step 4: Simplify right side
32,626,673,753,578x = 801,957,075,022,233,808,616,292,352 - Step 5: Solve for x
x = 801,957,075,022,233,808,616,292,352/32,626,673,753,578 - Step 6: Final answer
x = 24,579,798,758,501.62
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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.