Finding the Fourth Proportional to 377,461,175,074.84, 520,896,401,679.39 and 203,846,297,816.52
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Solution
The fourth proportional to 377,461,175,074.84, 520,896,401,679.39 and 203,846,297,816.52 is: 281,307,880,226.99
Step by Step Solution
- Step 1: Write the proportion equation
377,461,175,074.84 : 520,896,401,679.39 = 203,846,297,816.52 : x - Step 2: Convert to fraction form
377,461,175,074.84/520,896,401,679.39 = 203,846,297,816.52/x - Step 3: Cross multiply
377,461,175,074.84x = 520,896,401,679.39 × 203,846,297,816.52 - Step 4: Simplify right side
377,461,175,074.84x = 106,182,803,028,290,563,997,696 - Step 5: Solve for x
x = 106,182,803,028,290,563,997,696/377,461,175,074.84 - Step 6: Final answer
x = 281,307,880,226.99
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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.