Finding the Fourth Proportional to 1,840,245,420,632.60, 2,760,664,746,701.40 and 566,829,623,403.84
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Solution
The fourth proportional to 1,840,245,420,632.60, 2,760,664,746,701.40 and 566,829,623,403.84 is: 850,335,798,243.20
Step by Step Solution
- Step 1: Write the proportion equation
1,840,245,420,632.60 : 2,760,664,746,701.40 = 566,829,623,403.84 : x - Step 2: Convert to fraction form
1,840,245,420,632.60/2,760,664,746,701.40 = 566,829,623,403.84/x - Step 3: Cross multiply
1,840,245,420,632.60x = 2,760,664,746,701.40 × 566,829,623,403.84 - Step 4: Simplify right side
1,840,245,420,632.60x = 1,564,826,558,717,011,859,341,312 - Step 5: Solve for x
x = 1,564,826,558,717,011,859,341,312/1,840,245,420,632.60 - Step 6: Final answer
x = 850,335,798,243.20
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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.