Finding the Fourth Proportional to 11,896,983,782.80, 16,417,746,833.52 and 6,544,428,886.96
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Solution
The fourth proportional to 11,896,983,782.80, 16,417,746,833.52 and 6,544,428,886.96 is: 9,031,261,922.99
Step by Step Solution
- Step 1: Write the proportion equation
11,896,983,782.80 : 16,417,746,833.52 = 6,544,428,886.96 : x - Step 2: Convert to fraction form
11,896,983,782.80/16,417,746,833.52 = 6,544,428,886.96/x - Step 3: Cross multiply
11,896,983,782.80x = 16,417,746,833.52 × 6,544,428,886.96 - Step 4: Simplify right side
11,896,983,782.80x = 107,444,776,636,084,355,072 - Step 5: Solve for x
x = 107,444,776,636,084,355,072/11,896,983,782.80 - Step 6: Final answer
x = 9,031,261,922.99
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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.