Finding the Fourth Proportional to 180,210,557,319.08, 248,690,841,516.60 and 97,811,346,410.74
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Solution
The fourth proportional to 180,210,557,319.08, 248,690,841,516.60 and 97,811,346,410.74 is: 134,979,805,903.88
Step by Step Solution
- Step 1: Write the proportion equation
180,210,557,319.08 : 248,690,841,516.60 = 97,811,346,410.74 : x - Step 2: Convert to fraction form
180,210,557,319.08/248,690,841,516.60 = 97,811,346,410.74/x - Step 3: Cross multiply
180,210,557,319.08x = 248,690,841,516.60 × 97,811,346,410.74 - Step 4: Simplify right side
180,210,557,319.08x = 24,324,786,048,758,607,511,552 - Step 5: Solve for x
x = 24,324,786,048,758,607,511,552/180,210,557,319.08 - Step 6: Final answer
x = 134,979,805,903.88
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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.