Finding the Fourth Proportional to 12,107,467,643.08, 16,708,297,957.14 and 6,544,579,451.08
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Solution
The fourth proportional to 12,107,467,643.08, 16,708,297,957.14 and 6,544,579,451.08 is: 9,031,515,647.73
Step by Step Solution
- Step 1: Write the proportion equation
12,107,467,643.08 : 16,708,297,957.14 = 6,544,579,451.08 : x - Step 2: Convert to fraction form
12,107,467,643.08/16,708,297,957.14 = 6,544,579,451.08/x - Step 3: Cross multiply
12,107,467,643.08x = 16,708,297,957.14 × 6,544,579,451.08 - Step 4: Simplify right side
12,107,467,643.08x = 109,348,783,472,820,387,840 - Step 5: Solve for x
x = 109,348,783,472,820,387,840/12,107,467,643.08 - Step 6: Final answer
x = 9,031,515,647.73
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1.5x scale
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.