Finding the Fourth Proportional to 5,766,730,810,986.80, 7,958,094,408,864 and 3,129,955,660,023.30
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Solution
The fourth proportional to 5,766,730,810,986.80, 7,958,094,408,864 and 3,129,955,660,023.30 is: 4,319,342,007,531.88
Step by Step Solution
- Step 1: Write the proportion equation
5,766,730,810,986.80 : 7,958,094,408,864 = 3,129,955,660,023.30 : x - Step 2: Convert to fraction form
5,766,730,810,986.80/7,958,094,408,864 = 3,129,955,660,023.30/x - Step 3: Cross multiply
5,766,730,810,986.80x = 7,958,094,408,864 × 3,129,955,660,023.30 - Step 4: Simplify right side
5,766,730,810,986.80x = 24,908,482,638,023,654,390,104,064 - Step 5: Solve for x
x = 24,908,482,638,023,654,390,104,064/5,766,730,810,986.80 - Step 6: Final answer
x = 4,319,342,007,531.88
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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.