Finding the Fourth Proportional to 176,883,102,385.30, 265,324,653,577.95 and 145,476,214,743.70
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Solution
The fourth proportional to 176,883,102,385.30, 265,324,653,577.95 and 145,476,214,743.70 is: 218,214,322,115.55
Step by Step Solution
- Step 1: Write the proportion equation
176,883,102,385.30 : 265,324,653,577.95 = 145,476,214,743.70 : x - Step 2: Convert to fraction form
176,883,102,385.30/265,324,653,577.95 = 145,476,214,743.70/x - Step 3: Cross multiply
176,883,102,385.30x = 265,324,653,577.95 × 145,476,214,743.70 - Step 4: Simplify right side
176,883,102,385.30x = 38,598,426,280,703,666,683,904 - Step 5: Solve for x
x = 38,598,426,280,703,666,683,904/176,883,102,385.30 - Step 6: Final answer
x = 218,214,322,115.55
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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.