Finding the Fourth Proportional to 2,350,009,159,206.40, 3,526,623,915,560.70 and 820,185,460,095.93
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Solution
The fourth proportional to 2,350,009,159,206.40, 3,526,623,915,560.70 and 820,185,460,095.93 is: 1,230,840,163,936.32
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,159,206.40 : 3,526,623,915,560.70 = 820,185,460,095.93 : x - Step 2: Convert to fraction form
2,350,009,159,206.40/3,526,623,915,560.70 = 820,185,460,095.93/x - Step 3: Cross multiply
2,350,009,159,206.40x = 3,526,623,915,560.70 × 820,185,460,095.93 - Step 4: Simplify right side
2,350,009,159,206.40x = 2,892,485,658,769,463,286,169,600 - Step 5: Solve for x
x = 2,892,485,658,769,463,286,169,600/2,350,009,159,206.40 - Step 6: Final answer
x = 1,230,840,163,936.32
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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.