Finding the Fourth Proportional to 42,452,317,472,217, 63,684,843,309,966 and 14,910,636,526,614
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Solution
The fourth proportional to 42,452,317,472,217, 63,684,843,309,966 and 14,910,636,526,614 is: 22,368,191,123,387.41
Step by Step Solution
- Step 1: Write the proportion equation
42,452,317,472,217 : 63,684,843,309,966 = 14,910,636,526,614 : x - Step 2: Convert to fraction form
42,452,317,472,217/63,684,843,309,966 = 14,910,636,526,614/x - Step 3: Cross multiply
42,452,317,472,217x = 63,684,843,309,966 × 14,910,636,526,614 - Step 4: Simplify right side
42,452,317,472,217x = 949,581,550,849,268,340,207,124,480 - Step 5: Solve for x
x = 949,581,550,849,268,340,207,124,480/42,452,317,472,217 - Step 6: Final answer
x = 22,368,191,123,387.41
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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.