Finding the Fourth Proportional to 13,681,593,169, 18,881,376,578.88 and 7,660,045,892.18
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Solution
The fourth proportional to 13,681,593,169, 18,881,376,578.88 and 7,660,045,892.18 is: 10,571,298,920.76
Step by Step Solution
- Step 1: Write the proportion equation
13,681,593,169 : 18,881,376,578.88 = 7,660,045,892.18 : x - Step 2: Convert to fraction form
13,681,593,169/18,881,376,578.88 = 7,660,045,892.18/x - Step 3: Cross multiply
13,681,593,169x = 18,881,376,578.88 × 7,660,045,892.18 - Step 4: Simplify right side
13,681,593,169x = 144,632,211,101,753,425,920 - Step 5: Solve for x
x = 144,632,211,101,753,425,920/13,681,593,169 - Step 6: Final answer
x = 10,571,298,920.76
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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.