Finding the Fourth Proportional to 1,413,561,322.08, 2,117,583,558.09 and 1,101,206,389.14
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Solution
The fourth proportional to 1,413,561,322.08, 2,117,583,558.09 and 1,101,206,389.14 is: 1,649,660,688.42
Step by Step Solution
- Step 1: Write the proportion equation
1,413,561,322.08 : 2,117,583,558.09 = 1,101,206,389.14 : x - Step 2: Convert to fraction form
1,413,561,322.08/2,117,583,558.09 = 1,101,206,389.14/x - Step 3: Cross multiply
1,413,561,322.08x = 2,117,583,558.09 × 1,101,206,389.14 - Step 4: Simplify right side
1,413,561,322.08x = 2,331,896,543,706,522,624 - Step 5: Solve for x
x = 2,331,896,543,706,522,624/1,413,561,322.08 - Step 6: Final answer
x = 1,649,660,688.42
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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.