Finding the Fourth Proportional to 2,046,808,013,056.20, 3,070,400,759,333.70 and 668,419,247,385.98
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Solution
The fourth proportional to 2,046,808,013,056.20, 3,070,400,759,333.70 and 668,419,247,385.98 is: 1,002,690,507,187.70
Step by Step Solution
- Step 1: Write the proportion equation
2,046,808,013,056.20 : 3,070,400,759,333.70 = 668,419,247,385.98 : x - Step 2: Convert to fraction form
2,046,808,013,056.20/3,070,400,759,333.70 = 668,419,247,385.98/x - Step 3: Cross multiply
2,046,808,013,056.20x = 3,070,400,759,333.70 × 668,419,247,385.98 - Step 4: Simplify right side
2,046,808,013,056.20x = 2,052,314,964,727,173,285,412,864 - Step 5: Solve for x
x = 2,052,314,964,727,173,285,412,864/2,046,808,013,056.20 - Step 6: Final answer
x = 1,002,690,507,187.70
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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.