Finding the Fourth Proportional to 2,812,147,730,784.50, 4,218,221,596,176.90 and 902,217,990,331.75
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Solution
The fourth proportional to 2,812,147,730,784.50, 4,218,221,596,176.90 and 902,217,990,331.75 is: 1,353,326,985,497.67
Step by Step Solution
- Step 1: Write the proportion equation
2,812,147,730,784.50 : 4,218,221,596,176.90 = 902,217,990,331.75 : x - Step 2: Convert to fraction form
2,812,147,730,784.50/4,218,221,596,176.90 = 902,217,990,331.75/x - Step 3: Cross multiply
2,812,147,730,784.50x = 4,218,221,596,176.90 × 902,217,990,331.75 - Step 4: Simplify right side
2,812,147,730,784.50x = 3,805,755,411,276,709,060,673,536 - Step 5: Solve for x
x = 3,805,755,411,276,709,060,673,536/2,812,147,730,784.50 - Step 6: Final answer
x = 1,353,326,985,497.67
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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.