Finding the Fourth Proportional to 1,711,209,913,751.70, 2,361,526,313,960.70 and 940,485,924,148.12
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Solution
The fourth proportional to 1,711,209,913,751.70, 2,361,526,313,960.70 and 940,485,924,148.12 is: 1,297,901,700,976.06
Step by Step Solution
- Step 1: Write the proportion equation
1,711,209,913,751.70 : 2,361,526,313,960.70 = 940,485,924,148.12 : x - Step 2: Convert to fraction form
1,711,209,913,751.70/2,361,526,313,960.70 = 940,485,924,148.12/x - Step 3: Cross multiply
1,711,209,913,751.70x = 2,361,526,313,960.70 × 940,485,924,148.12 - Step 4: Simplify right side
1,711,209,913,751.70x = 2,220,982,257,785,432,608,604,160 - Step 5: Solve for x
x = 2,220,982,257,785,432,608,604,160/1,711,209,913,751.70 - Step 6: Final answer
x = 1,297,901,700,976.06
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.