Finding the Fourth Proportional to 1,580,438,676,379.60, 2,370,198,111,106.70 and 612,131,148,082.80
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Solution
The fourth proportional to 1,580,438,676,379.60, 2,370,198,111,106.70 and 612,131,148,082.80 is: 918,018,593,583.79
Step by Step Solution
- Step 1: Write the proportion equation
1,580,438,676,379.60 : 2,370,198,111,106.70 = 612,131,148,082.80 : x - Step 2: Convert to fraction form
1,580,438,676,379.60/2,370,198,111,106.70 = 612,131,148,082.80/x - Step 3: Cross multiply
1,580,438,676,379.60x = 2,370,198,111,106.70 × 612,131,148,082.80 - Step 4: Simplify right side
1,580,438,676,379.60x = 1,450,872,090,935,428,565,172,224 - Step 5: Solve for x
x = 1,450,872,090,935,428,565,172,224/1,580,438,676,379.60 - Step 6: Final answer
x = 918,018,593,583.79
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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.