Finding the Fourth Proportional to 2,350,009,189,967.40, 3,526,623,961,648.10 and 820,185,490,848.09
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Solution
The fourth proportional to 2,350,009,189,967.40, 3,526,623,961,648.10 and 820,185,490,848.09 is: 1,230,840,210,059.39
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,189,967.40 : 3,526,623,961,648.10 = 820,185,490,848.09 : x - Step 2: Convert to fraction form
2,350,009,189,967.40/3,526,623,961,648.10 = 820,185,490,848.09/x - Step 3: Cross multiply
2,350,009,189,967.40x = 3,526,623,961,648.10 × 820,185,490,848.09 - Step 4: Simplify right side
2,350,009,189,967.40x = 2,892,485,805,020,982,590,570,496 - Step 5: Solve for x
x = 2,892,485,805,020,982,590,570,496/2,350,009,189,967.40 - Step 6: Final answer
x = 1,230,840,210,059.39
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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.