Finding the Fourth Proportional to 99,716,490,556.80, 149,583,930,864.63 and 32,564,087,539.14
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Solution
The fourth proportional to 99,716,490,556.80, 149,583,930,864.63 and 32,564,087,539.14 is: 48,849,134,099.34
Step by Step Solution
- Step 1: Write the proportion equation
99,716,490,556.80 : 149,583,930,864.63 = 32,564,087,539.14 : x - Step 2: Convert to fraction form
99,716,490,556.80/149,583,930,864.63 = 32,564,087,539.14/x - Step 3: Cross multiply
99,716,490,556.80x = 149,583,930,864.63 × 32,564,087,539.14 - Step 4: Simplify right side
99,716,490,556.80x = 4,871,064,219,124,477,460,480 - Step 5: Solve for x
x = 4,871,064,219,124,477,460,480/99,716,490,556.80 - Step 6: Final answer
x = 48,849,134,099.34
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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.