Finding the Fourth Proportional to 99,738,881,160.76, 137,639,730,208.98 and 54,013,511,518.84
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Solution
The fourth proportional to 99,738,881,160.76, 137,639,730,208.98 and 54,013,511,518.84 is: 74,538,686,082.81
Step by Step Solution
- Step 1: Write the proportion equation
99,738,881,160.76 : 137,639,730,208.98 = 54,013,511,518.84 : x - Step 2: Convert to fraction form
99,738,881,160.76/137,639,730,208.98 = 54,013,511,518.84/x - Step 3: Cross multiply
99,738,881,160.76x = 137,639,730,208.98 × 54,013,511,518.84 - Step 4: Simplify right side
99,738,881,160.76x = 7,434,405,153,092,771,250,176 - Step 5: Solve for x
x = 7,434,405,153,092,771,250,176/99,738,881,160.76 - Step 6: Final answer
x = 74,538,686,082.81
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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.