Finding the Fourth Proportional to 49,338,493,262,894, 68,088,753,574,400 and 27,116,578,779,448
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Solution
The fourth proportional to 49,338,493,262,894, 68,088,753,574,400 and 27,116,578,779,448 is: 37,421,776,146,601.77
Step by Step Solution
- Step 1: Write the proportion equation
49,338,493,262,894 : 68,088,753,574,400 = 27,116,578,779,448 : x - Step 2: Convert to fraction form
49,338,493,262,894/68,088,753,574,400 = 27,116,578,779,448/x - Step 3: Cross multiply
49,338,493,262,894x = 68,088,753,574,400 × 27,116,578,779,448 - Step 4: Simplify right side
49,338,493,262,894x = 1,846,334,050,294,639,128,307,826,688 - Step 5: Solve for x
x = 1,846,334,050,294,639,128,307,826,688/49,338,493,262,894 - Step 6: Final answer
x = 37,421,776,146,601.77
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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.