Finding the Fourth Proportional to 19,329,704,765,760, 26,709,885,602,838 and 13,764,367,185,518
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Solution
The fourth proportional to 19,329,704,765,760, 26,709,885,602,838 and 13,764,367,185,518 is: 19,019,673,470,226.86
Step by Step Solution
- Step 1: Write the proportion equation
19,329,704,765,760 : 26,709,885,602,838 = 13,764,367,185,518 : x - Step 2: Convert to fraction form
19,329,704,765,760/26,709,885,602,838 = 13,764,367,185,518/x - Step 3: Cross multiply
19,329,704,765,760x = 26,709,885,602,838 × 13,764,367,185,518 - Step 4: Simplify right side
19,329,704,765,760x = 367,644,672,920,643,053,620,822,016 - Step 5: Solve for x
x = 367,644,672,920,643,053,620,822,016/19,329,704,765,760 - Step 6: Final answer
x = 19,019,673,470,226.86
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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.