Finding the Fourth Proportional to 8,221,106,713.95, 11,345,138,212.32 and 4,461,917,281.47
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Solution
The fourth proportional to 8,221,106,713.95, 11,345,138,212.32 and 4,461,917,281.47 is: 6,157,451,789.83
Step by Step Solution
- Step 1: Write the proportion equation
8,221,106,713.95 : 11,345,138,212.32 = 4,461,917,281.47 : x - Step 2: Convert to fraction form
8,221,106,713.95/11,345,138,212.32 = 4,461,917,281.47/x - Step 3: Cross multiply
8,221,106,713.95x = 11,345,138,212.32 × 4,461,917,281.47 - Step 4: Simplify right side
8,221,106,713.95x = 50,621,068,250,216,267,776 - Step 5: Solve for x
x = 50,621,068,250,216,267,776/8,221,106,713.95 - Step 6: Final answer
x = 6,157,451,789.83
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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.