Finding the Fourth Proportional to 598,088,599,263.58, 897,135,199,201.22 and 144,806,748,201.99
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Solution
The fourth proportional to 598,088,599,263.58, 897,135,199,201.22 and 144,806,748,201.99 is: 217,210,679,243.56
Step by Step Solution
- Step 1: Write the proportion equation
598,088,599,263.58 : 897,135,199,201.22 = 144,806,748,201.99 : x - Step 2: Convert to fraction form
598,088,599,263.58/897,135,199,201.22 = 144,806,748,201.99/x - Step 3: Cross multiply
598,088,599,263.58x = 897,135,199,201.22 × 144,806,748,201.99 - Step 4: Simplify right side
598,088,599,263.58x = 129,911,230,893,873,193,549,824 - Step 5: Solve for x
x = 129,911,230,893,873,193,549,824/598,088,599,263.58 - Step 6: Final answer
x = 217,210,679,243.56
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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.