Finding the Fourth Proportional to 1,473,126,529,906, 2,032,892,976,257.40 and 822,814,603,960.90
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Solution
The fourth proportional to 1,473,126,529,906, 2,032,892,976,257.40 and 822,814,603,960.90 is: 1,135,472,069,232.82
Step by Step Solution
- Step 1: Write the proportion equation
1,473,126,529,906 : 2,032,892,976,257.40 = 822,814,603,960.90 : x - Step 2: Convert to fraction form
1,473,126,529,906/2,032,892,976,257.40 = 822,814,603,960.90/x - Step 3: Cross multiply
1,473,126,529,906x = 2,032,892,976,257.40 × 822,814,603,960.90 - Step 4: Simplify right side
1,473,126,529,906x = 1,672,694,029,154,127,710,257,152 - Step 5: Solve for x
x = 1,672,694,029,154,127,710,257,152/1,473,126,529,906 - Step 6: Final answer
x = 1,135,472,069,232.82
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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.