Finding the Fourth Proportional to 266,517,475,681.98, 399,762,133,641.24 and 87,419,871,092.64
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Solution
The fourth proportional to 266,517,475,681.98, 399,762,133,641.24 and 87,419,871,092.64 is: 131,125,188,324.75
Step by Step Solution
- Step 1: Write the proportion equation
266,517,475,681.98 : 399,762,133,641.24 = 87,419,871,092.64 : x - Step 2: Convert to fraction form
266,517,475,681.98/399,762,133,641.24 = 87,419,871,092.64/x - Step 3: Cross multiply
266,517,475,681.98x = 399,762,133,641.24 × 87,419,871,092.64 - Step 4: Simplify right side
266,517,475,681.98x = 34,947,154,190,635,922,096,128 - Step 5: Solve for x
x = 34,947,154,190,635,922,096,128/266,517,475,681.98 - Step 6: Final answer
x = 131,125,188,324.75
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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.