Finding the Fourth Proportional to 1,580,438,676,387, 2,370,198,111,117.90 and 612,131,148,090.11
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Solution
The fourth proportional to 1,580,438,676,387, 2,370,198,111,117.90 and 612,131,148,090.11 is: 918,018,593,594.79
Step by Step Solution
- Step 1: Write the proportion equation
1,580,438,676,387 : 2,370,198,111,117.90 = 612,131,148,090.11 : x - Step 2: Convert to fraction form
1,580,438,676,387/2,370,198,111,117.90 = 612,131,148,090.11/x - Step 3: Cross multiply
1,580,438,676,387x = 2,370,198,111,117.90 × 612,131,148,090.11 - Step 4: Simplify right side
1,580,438,676,387x = 1,450,872,090,959,610,036,355,072 - Step 5: Solve for x
x = 1,450,872,090,959,610,036,355,072/1,580,438,676,387 - Step 6: Final answer
x = 918,018,593,594.79
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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.