Finding the Fourth Proportional to 6,513,346,076.79, 9,774,151,305.13 and 2,782,665,534.32
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Solution
The fourth proportional to 6,513,346,076.79, 9,774,151,305.13 and 2,782,665,534.32 is: 4,175,763,677.12
Step by Step Solution
- Step 1: Write the proportion equation
6,513,346,076.79 : 9,774,151,305.13 = 2,782,665,534.32 : x - Step 2: Convert to fraction form
6,513,346,076.79/9,774,151,305.13 = 2,782,665,534.32/x - Step 3: Cross multiply
6,513,346,076.79x = 9,774,151,305.13 × 2,782,665,534.32 - Step 4: Simplify right side
6,513,346,076.79x = 27,198,193,964,005,707,776 - Step 5: Solve for x
x = 27,198,193,964,005,707,776/6,513,346,076.79 - Step 6: Final answer
x = 4,175,763,677.12
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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.