Finding the Fourth Proportional to 42,561,213,365,184, 58,738,852,119,320 and 25,895,369,913,578
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Solution
The fourth proportional to 42,561,213,365,184, 58,738,852,119,320 and 25,895,369,913,578 is: 35,738,273,974,421.28
Step by Step Solution
- Step 1: Write the proportion equation
42,561,213,365,184 : 58,738,852,119,320 = 25,895,369,913,578 : x - Step 2: Convert to fraction form
42,561,213,365,184/58,738,852,119,320 = 25,895,369,913,578/x - Step 3: Cross multiply
42,561,213,365,184x = 58,738,852,119,320 × 25,895,369,913,578 - Step 4: Simplify right side
42,561,213,365,184x = 1,521,064,303,928,746,526,923,292,672 - Step 5: Solve for x
x = 1,521,064,303,928,746,526,923,292,672/42,561,213,365,184 - Step 6: Final answer
x = 35,738,273,974,421.28
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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.