Finding the Fourth Proportional to 97,285,685,557.91, 145,950,532,618.67 and 52,516,221,325.25
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Solution
The fourth proportional to 97,285,685,557.91, 145,950,532,618.67 and 52,516,221,325.25 is: 78,786,210,217.72
Step by Step Solution
- Step 1: Write the proportion equation
97,285,685,557.91 : 145,950,532,618.67 = 52,516,221,325.25 : x - Step 2: Convert to fraction form
97,285,685,557.91/145,950,532,618.67 = 52,516,221,325.25/x - Step 3: Cross multiply
97,285,685,557.91x = 145,950,532,618.67 × 52,516,221,325.25 - Step 4: Simplify right side
97,285,685,557.91x = 7,664,770,473,540,194,402,304 - Step 5: Solve for x
x = 7,664,770,473,540,194,402,304/97,285,685,557.91 - Step 6: Final answer
x = 78,786,210,217.72
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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.