Finding the Fourth Proportional to 564,534,793,516.05, 846,801,133,259.98 and 176,890,597,302.12
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Solution
The fourth proportional to 564,534,793,516.05, 846,801,133,259.98 and 176,890,597,302.12 is: 265,335,564,749.76
Step by Step Solution
- Step 1: Write the proportion equation
564,534,793,516.05 : 846,801,133,259.98 = 176,890,597,302.12 : x - Step 2: Convert to fraction form
564,534,793,516.05/846,801,133,259.98 = 176,890,597,302.12/x - Step 3: Cross multiply
564,534,793,516.05x = 846,801,133,259.98 × 176,890,597,302.12 - Step 4: Simplify right side
564,534,793,516.05x = 149,791,158,258,469,963,825,152 - Step 5: Solve for x
x = 149,791,158,258,469,963,825,152/564,534,793,516.05 - Step 6: Final answer
x = 265,335,564,749.76
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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.