Finding the Fourth Proportional to 29,347,670,965,664, 40,499,908,260,812 and 16,178,372,974,248
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Solution
The fourth proportional to 29,347,670,965,664, 40,499,908,260,812 and 16,178,372,974,248 is: 22,326,222,139,836.49
Step by Step Solution
- Step 1: Write the proportion equation
29,347,670,965,664 : 40,499,908,260,812 = 16,178,372,974,248 : x - Step 2: Convert to fraction form
29,347,670,965,664/40,499,908,260,812 = 16,178,372,974,248/x - Step 3: Cross multiply
29,347,670,965,664x = 40,499,908,260,812 × 16,178,372,974,248 - Step 4: Simplify right side
29,347,670,965,664x = 655,222,621,266,244,116,250,886,144 - Step 5: Solve for x
x = 655,222,621,266,244,116,250,886,144/29,347,670,965,664 - Step 6: Final answer
x = 22,326,222,139,836.49
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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.