Finding the Fourth Proportional to 11,426,255,841.94, 15,766,805,232.45 and 6,344,928,901.68
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Solution
The fourth proportional to 11,426,255,841.94, 15,766,805,232.45 and 6,344,928,901.68 is: 8,755,209,019.50
Step by Step Solution
- Step 1: Write the proportion equation
11,426,255,841.94 : 15,766,805,232.45 = 6,344,928,901.68 : x - Step 2: Convert to fraction form
11,426,255,841.94/15,766,805,232.45 = 6,344,928,901.68/x - Step 3: Cross multiply
11,426,255,841.94x = 15,766,805,232.45 × 6,344,928,901.68 - Step 4: Simplify right side
11,426,255,841.94x = 100,039,258,206,471,553,024 - Step 5: Solve for x
x = 100,039,258,206,471,553,024/11,426,255,841.94 - Step 6: Final answer
x = 8,755,209,019.50
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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.