Finding the Fourth Proportional to 72,056,698,013,632, 99,430,292,581,654 and 40,408,876,972,782
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Solution
The fourth proportional to 72,056,698,013,632, 99,430,292,581,654 and 40,408,876,972,782 is: 55,759,791,539,985.05
Step by Step Solution
- Step 1: Write the proportion equation
72,056,698,013,632 : 99,430,292,581,654 = 40,408,876,972,782 : x - Step 2: Convert to fraction form
72,056,698,013,632/99,430,292,581,654 = 40,408,876,972,782/x - Step 3: Cross multiply
72,056,698,013,632x = 99,430,292,581,654 × 40,408,876,972,782 - Step 4: Simplify right side
72,056,698,013,632x = 4,017,866,460,299,775,354,779,729,920 - Step 5: Solve for x
x = 4,017,866,460,299,775,354,779,729,920/72,056,698,013,632 - Step 6: Final answer
x = 55,759,791,539,985.05
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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.