Finding the Fourth Proportional to 7,964,012,106,177.10, 10,990,220,698,099 and 4,448,361,206,322.70
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Solution
The fourth proportional to 7,964,012,106,177.10, 10,990,220,698,099 and 4,448,361,206,322.70 is: 6,138,673,667,312.63
Step by Step Solution
- Step 1: Write the proportion equation
7,964,012,106,177.10 : 10,990,220,698,099 = 4,448,361,206,322.70 : x - Step 2: Convert to fraction form
7,964,012,106,177.10/10,990,220,698,099 = 4,448,361,206,322.70/x - Step 3: Cross multiply
7,964,012,106,177.10x = 10,990,220,698,099 × 4,448,361,206,322.70 - Step 4: Simplify right side
7,964,012,106,177.10x = 48,888,471,402,348,372,788,510,720 - Step 5: Solve for x
x = 48,888,471,402,348,372,788,510,720/7,964,012,106,177.10 - Step 6: Final answer
x = 6,138,673,667,312.63
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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.