Finding the Fourth Proportional to 7,964,012,106,178.40, 10,990,220,698,102 and 4,448,361,206,324.40
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Solution
The fourth proportional to 7,964,012,106,178.40, 10,990,220,698,102 and 4,448,361,206,324.40 is: 6,138,673,667,315.65
Step by Step Solution
- Step 1: Write the proportion equation
7,964,012,106,178.40 : 10,990,220,698,102 = 4,448,361,206,324.40 : x - Step 2: Convert to fraction form
7,964,012,106,178.40/10,990,220,698,102 = 4,448,361,206,324.40/x - Step 3: Cross multiply
7,964,012,106,178.40x = 10,990,220,698,102 × 4,448,361,206,324.40 - Step 4: Simplify right side
7,964,012,106,178.40x = 48,888,471,402,380,404,654,604,288 - Step 5: Solve for x
x = 48,888,471,402,380,404,654,604,288/7,964,012,106,178.40 - Step 6: Final answer
x = 6,138,673,667,315.65
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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.