Finding the Fourth Proportional to 1,597,788,832,400.70, 2,396,441,089,434.20 and 434,857,838,435.02
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Solution
The fourth proportional to 1,597,788,832,400.70, 2,396,441,089,434.20 and 434,857,838,435.02 is: 652,220,851,063.55
Step by Step Solution
- Step 1: Write the proportion equation
1,597,788,832,400.70 : 2,396,441,089,434.20 = 434,857,838,435.02 : x - Step 2: Convert to fraction form
1,597,788,832,400.70/2,396,441,089,434.20 = 434,857,838,435.02/x - Step 3: Cross multiply
1,597,788,832,400.70x = 2,396,441,089,434.20 × 434,857,838,435.02 - Step 4: Simplify right side
1,597,788,832,400.70x = 1,042,111,192,088,220,767,617,024 - Step 5: Solve for x
x = 1,042,111,192,088,220,767,617,024/1,597,788,832,400.70 - Step 6: Final answer
x = 652,220,851,063.55
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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.