Finding the Fourth Proportional to 12,107,467,642.08, 16,708,297,955.76 and 6,544,579,450.08
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Solution
The fourth proportional to 12,107,467,642.08, 16,708,297,955.76 and 6,544,579,450.08 is: 9,031,515,646.35
Step by Step Solution
- Step 1: Write the proportion equation
12,107,467,642.08 : 16,708,297,955.76 = 6,544,579,450.08 : x - Step 2: Convert to fraction form
12,107,467,642.08/16,708,297,955.76 = 6,544,579,450.08/x - Step 3: Cross multiply
12,107,467,642.08x = 16,708,297,955.76 × 6,544,579,450.08 - Step 4: Simplify right side
12,107,467,642.08x = 109,348,783,447,080,566,784 - Step 5: Solve for x
x = 109,348,783,447,080,566,784/12,107,467,642.08 - Step 6: Final answer
x = 9,031,515,646.35
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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.