Finding the Fourth Proportional to 8,221,106,730.60, 11,345,138,235.24 and 4,461,917,298.12
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Solution
The fourth proportional to 8,221,106,730.60, 11,345,138,235.24 and 4,461,917,298.12 is: 6,157,451,812.78
Step by Step Solution
- Step 1: Write the proportion equation
8,221,106,730.60 : 11,345,138,235.24 = 4,461,917,298.12 : x - Step 2: Convert to fraction form
8,221,106,730.60/11,345,138,235.24 = 4,461,917,298.12/x - Step 3: Cross multiply
8,221,106,730.60x = 11,345,138,235.24 × 4,461,917,298.12 - Step 4: Simplify right side
8,221,106,730.60x = 50,621,068,541,379,960,832 - Step 5: Solve for x
x = 50,621,068,541,379,960,832/8,221,106,730.60 - Step 6: Final answer
x = 6,157,451,812.78
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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.