Finding the Fourth Proportional to 97,299,582,091.12, 145,896,167,951.34 and 77,259,737,796.40
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Solution
The fourth proportional to 97,299,582,091.12, 145,896,167,951.34 and 77,259,737,796.40 is: 115,847,359,661.46
Step by Step Solution
- Step 1: Write the proportion equation
97,299,582,091.12 : 145,896,167,951.34 = 77,259,737,796.40 : x - Step 2: Convert to fraction form
97,299,582,091.12/145,896,167,951.34 = 77,259,737,796.40/x - Step 3: Cross multiply
97,299,582,091.12x = 145,896,167,951.34 × 77,259,737,796.40 - Step 4: Simplify right side
97,299,582,091.12x = 11,271,899,681,420,063,277,056 - Step 5: Solve for x
x = 11,271,899,681,420,063,277,056/97,299,582,091.12 - Step 6: Final answer
x = 115,847,359,661.46
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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.