Finding the Fourth Proportional to 2,099,160,307,686.20, 3,148,740,461,529.20 and 589,927,472,115.83
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Solution
The fourth proportional to 2,099,160,307,686.20, 3,148,740,461,529.20 and 589,927,472,115.83 is: 884,891,208,173.72
Step by Step Solution
- Step 1: Write the proportion equation
2,099,160,307,686.20 : 3,148,740,461,529.20 = 589,927,472,115.83 : x - Step 2: Convert to fraction form
2,099,160,307,686.20/3,148,740,461,529.20 = 589,927,472,115.83/x - Step 3: Cross multiply
2,099,160,307,686.20x = 3,148,740,461,529.20 × 589,927,472,115.83 - Step 4: Simplify right side
2,099,160,307,686.20x = 1,857,528,500,818,752,693,075,968 - Step 5: Solve for x
x = 1,857,528,500,818,752,693,075,968/2,099,160,307,686.20 - Step 6: Final answer
x = 884,891,208,173.72
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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.