Finding the Fourth Proportional to 2,760,065,547,575.40, 4,140,182,664,730.80 and 946,915,730,415.49
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Solution
The fourth proportional to 2,760,065,547,575.40, 4,140,182,664,730.80 and 946,915,730,415.49 is: 1,420,402,531,914.88
Step by Step Solution
- Step 1: Write the proportion equation
2,760,065,547,575.40 : 4,140,182,664,730.80 = 946,915,730,415.49 : x - Step 2: Convert to fraction form
2,760,065,547,575.40/4,140,182,664,730.80 = 946,915,730,415.49/x - Step 3: Cross multiply
2,760,065,547,575.40x = 4,140,182,664,730.80 × 946,915,730,415.49 - Step 4: Simplify right side
2,760,065,547,575.40x = 3,920,404,092,027,114,881,024,000 - Step 5: Solve for x
x = 3,920,404,092,027,114,881,024,000/2,760,065,547,575.40 - Step 6: Final answer
x = 1,420,402,531,914.88
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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.