Finding the Fourth Proportional to 177,776,818,899.99, 245,332,253,026.17 and 96,486,643,103.75
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Solution
The fourth proportional to 177,776,818,899.99, 245,332,253,026.17 and 96,486,643,103.75 is: 133,151,699,338.78
Step by Step Solution
- Step 1: Write the proportion equation
177,776,818,899.99 : 245,332,253,026.17 = 96,486,643,103.75 : x - Step 2: Convert to fraction form
177,776,818,899.99/245,332,253,026.17 = 96,486,643,103.75/x - Step 3: Cross multiply
177,776,818,899.99x = 245,332,253,026.17 × 96,486,643,103.75 - Step 4: Simplify right side
177,776,818,899.99x = 23,671,285,539,575,693,312,000 - Step 5: Solve for x
x = 23,671,285,539,575,693,312,000/177,776,818,899.99 - Step 6: Final answer
x = 133,151,699,338.78
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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.