Finding the Fourth Proportional to 119,347,684,653.84, 164,698,966,975.29 and 65,154,233,286.96
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Solution
The fourth proportional to 119,347,684,653.84, 164,698,966,975.29 and 65,154,233,286.96 is: 89,912,384,538.95
Step by Step Solution
- Step 1: Write the proportion equation
119,347,684,653.84 : 164,698,966,975.29 = 65,154,233,286.96 : x - Step 2: Convert to fraction form
119,347,684,653.84/164,698,966,975.29 = 65,154,233,286.96/x - Step 3: Cross multiply
119,347,684,653.84x = 164,698,966,975.29 × 65,154,233,286.96 - Step 4: Simplify right side
119,347,684,653.84x = 10,730,834,916,429,365,510,144 - Step 5: Solve for x
x = 10,730,834,916,429,365,510,144/119,347,684,653.84 - Step 6: Final answer
x = 89,912,384,538.95
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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.