Finding the Fourth Proportional to 215,778,816,193.70, 323,232,867,823.35 and 215,778,816,193.70
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Solution
The fourth proportional to 215,778,816,193.70, 323,232,867,823.35 and 215,778,816,193.70 is: 323,232,867,823.35
Step by Step Solution
- Step 1: Write the proportion equation
215,778,816,193.70 : 323,232,867,823.35 = 215,778,816,193.70 : x - Step 2: Convert to fraction form
215,778,816,193.70/323,232,867,823.35 = 215,778,816,193.70/x - Step 3: Cross multiply
215,778,816,193.70x = 323,232,867,823.35 × 215,778,816,193.70 - Step 4: Simplify right side
215,778,816,193.70x = 69,746,805,573,817,164,890,112 - Step 5: Solve for x
x = 69,746,805,573,817,164,890,112/215,778,816,193.70 - Step 6: Final answer
x = 323,232,867,823.35
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.