Finding the Fourth Proportional to 2,350,009,189,968.30, 3,526,623,961,649.40 and 820,185,490,848.95
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Solution
The fourth proportional to 2,350,009,189,968.30, 3,526,623,961,649.40 and 820,185,490,848.95 is: 1,230,840,210,060.67
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,189,968.30 : 3,526,623,961,649.40 = 820,185,490,848.95 : x - Step 2: Convert to fraction form
2,350,009,189,968.30/3,526,623,961,649.40 = 820,185,490,848.95/x - Step 3: Cross multiply
2,350,009,189,968.30x = 3,526,623,961,649.40 × 820,185,490,848.95 - Step 4: Simplify right side
2,350,009,189,968.30x = 2,892,485,805,025,081,599,983,616 - Step 5: Solve for x
x = 2,892,485,805,025,081,599,983,616/2,350,009,189,968.30 - Step 6: Final answer
x = 1,230,840,210,060.67
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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.