Finding the Fourth Proportional to 6,435,987,965.96, 9,648,772,247.72 and 2,012,130,257.18
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Solution
The fourth proportional to 6,435,987,965.96, 9,648,772,247.72 and 2,012,130,257.18 is: 3,016,566,638.56
Step by Step Solution
- Step 1: Write the proportion equation
6,435,987,965.96 : 9,648,772,247.72 = 2,012,130,257.18 : x - Step 2: Convert to fraction form
6,435,987,965.96/9,648,772,247.72 = 2,012,130,257.18/x - Step 3: Cross multiply
6,435,987,965.96x = 9,648,772,247.72 × 2,012,130,257.18 - Step 4: Simplify right side
6,435,987,965.96x = 19,414,586,584,276,090,880 - Step 5: Solve for x
x = 19,414,586,584,276,090,880/6,435,987,965.96 - Step 6: Final answer
x = 3,016,566,638.56
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1.5x scale
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.