Finding the Fourth Proportional to 5,309,243,685,635, 7,326,678,312,201.80 and 2,965,477,272,373.50
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Solution
The fourth proportional to 5,309,243,685,635, 7,326,678,312,201.80 and 2,965,477,272,373.50 is: 4,092,315,083,523.55
Step by Step Solution
- Step 1: Write the proportion equation
5,309,243,685,635 : 7,326,678,312,201.80 = 2,965,477,272,373.50 : x - Step 2: Convert to fraction form
5,309,243,685,635/7,326,678,312,201.80 = 2,965,477,272,373.50/x - Step 3: Cross multiply
5,309,243,685,635x = 7,326,678,312,201.80 × 2,965,477,272,373.50 - Step 4: Simplify right side
5,309,243,685,635x = 21,727,098,016,826,270,941,184,000 - Step 5: Solve for x
x = 21,727,098,016,826,270,941,184,000/5,309,243,685,635 - Step 6: Final answer
x = 4,092,315,083,523.55
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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.