Finding the Fourth Proportional to 6,138,410,264.96, 8,470,658,360.92 and 3,462,030,480.08
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Solution
The fourth proportional to 6,138,410,264.96, 8,470,658,360.92 and 3,462,030,480.08 is: 4,777,405,902.51
Step by Step Solution
- Step 1: Write the proportion equation
6,138,410,264.96 : 8,470,658,360.92 = 3,462,030,480.08 : x - Step 2: Convert to fraction form
6,138,410,264.96/8,470,658,360.92 = 3,462,030,480.08/x - Step 3: Cross multiply
6,138,410,264.96x = 8,470,658,360.92 × 3,462,030,480.08 - Step 4: Simplify right side
6,138,410,264.96x = 29,325,677,431,849,533,440 - Step 5: Solve for x
x = 29,325,677,431,849,533,440/6,138,410,264.96 - Step 6: Final answer
x = 4,777,405,902.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.