Finding the Fourth Proportional to 120,358,018,248.30, 180,586,515,213.90 and 53,169,803,290.62
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Solution
The fourth proportional to 120,358,018,248.30, 180,586,515,213.90 and 53,169,803,290.62 is: 79,776,566,867.80
Step by Step Solution
- Step 1: Write the proportion equation
120,358,018,248.30 : 180,586,515,213.90 = 53,169,803,290.62 : x - Step 2: Convert to fraction form
120,358,018,248.30/180,586,515,213.90 = 53,169,803,290.62/x - Step 3: Cross multiply
120,358,018,248.30x = 180,586,515,213.90 × 53,169,803,290.62 - Step 4: Simplify right side
120,358,018,248.30x = 9,601,749,490,861,619,544,064 - Step 5: Solve for x
x = 9,601,749,490,861,619,544,064/120,358,018,248.30 - Step 6: Final answer
x = 79,776,566,867.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.