Finding the Fourth Proportional to 2,146,913,614,995.80, 3,220,132,535,784.80 and 768,462,571,147.99
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Solution
The fourth proportional to 2,146,913,614,995.80, 3,220,132,535,784.80 and 768,462,571,147.99 is: 1,152,608,707,962.07
Step by Step Solution
- Step 1: Write the proportion equation
2,146,913,614,995.80 : 3,220,132,535,784.80 = 768,462,571,147.99 : x - Step 2: Convert to fraction form
2,146,913,614,995.80/3,220,132,535,784.80 = 768,462,571,147.99/x - Step 3: Cross multiply
2,146,913,614,995.80x = 3,220,132,535,784.80 × 768,462,571,147.99 - Step 4: Simplify right side
2,146,913,614,995.80x = 2,474,551,327,886,484,067,844,096 - Step 5: Solve for x
x = 2,474,551,327,886,484,067,844,096/2,146,913,614,995.80 - Step 6: Final answer
x = 1,152,608,707,962.07
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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.