Finding the Fourth Proportional to 1,461,633,455.98, 2,192,579,069.40 and 412,380,839.98
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Solution
The fourth proportional to 1,461,633,455.98, 2,192,579,069.40 and 412,380,839.98 is: 618,607,623.32
Step by Step Solution
- Step 1: Write the proportion equation
1,461,633,455.98 : 2,192,579,069.40 = 412,380,839.98 : x - Step 2: Convert to fraction form
1,461,633,455.98/2,192,579,069.40 = 412,380,839.98/x - Step 3: Cross multiply
1,461,633,455.98x = 2,192,579,069.40 × 412,380,839.98 - Step 4: Simplify right side
1,461,633,455.98x = 904,177,598,364,479,488 - Step 5: Solve for x
x = 904,177,598,364,479,488/1,461,633,455.98 - Step 6: Final answer
x = 618,607,623.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.