Finding the Fourth Proportional to 24,488,853,022,584, 33,795,643,858,952 and 14,083,718,484,690
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Solution
The fourth proportional to 24,488,853,022,584, 33,795,643,858,952 and 14,083,718,484,690 is: 19,436,121,964,527.17
Step by Step Solution
- Step 1: Write the proportion equation
24,488,853,022,584 : 33,795,643,858,952 = 14,083,718,484,690 : x - Step 2: Convert to fraction form
24,488,853,022,584/33,795,643,858,952 = 14,083,718,484,690/x - Step 3: Cross multiply
24,488,853,022,584x = 33,795,643,858,952 × 14,083,718,484,690 - Step 4: Simplify right side
24,488,853,022,584x = 475,968,334,118,322,363,602,829,312 - Step 5: Solve for x
x = 475,968,334,118,322,363,602,829,312/24,488,853,022,584 - Step 6: Final answer
x = 19,436,121,964,527.17
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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.