Finding the Fourth Proportional to 219,273,586,258.14, 302,696,699,560.47 and 138,102,701,552.22
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Solution
The fourth proportional to 219,273,586,258.14, 302,696,699,560.47 and 138,102,701,552.22 is: 190,644,175,039.98
Step by Step Solution
- Step 1: Write the proportion equation
219,273,586,258.14 : 302,696,699,560.47 = 138,102,701,552.22 : x - Step 2: Convert to fraction form
219,273,586,258.14/302,696,699,560.47 = 138,102,701,552.22/x - Step 3: Cross multiply
219,273,586,258.14x = 302,696,699,560.47 × 138,102,701,552.22 - Step 4: Simplify right side
219,273,586,258.14x = 41,803,231,960,241,585,258,496 - Step 5: Solve for x
x = 41,803,231,960,241,585,258,496/219,273,586,258.14 - Step 6: Final answer
x = 190,644,175,039.98
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1.5x scale
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.