Finding the Fourth Proportional to 1,507,106,228.80, 2,260,766,960 and 401,705,295.12
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Solution
The fourth proportional to 1,507,106,228.80, 2,260,766,960 and 401,705,295.12 is: 602,586,626.95
Step by Step Solution
- Step 1: Write the proportion equation
1,507,106,228.80 : 2,260,766,960 = 401,705,295.12 : x - Step 2: Convert to fraction form
1,507,106,228.80/2,260,766,960 = 401,705,295.12/x - Step 3: Cross multiply
1,507,106,228.80x = 2,260,766,960 × 401,705,295.12 - Step 4: Simplify right side
1,507,106,228.80x = 908,162,058,864,345,216 - Step 5: Solve for x
x = 908,162,058,864,345,216/1,507,106,228.80 - Step 6: Final answer
x = 602,586,626.95
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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.