Finding the Fourth Proportional to 99,716,490,555.69, 149,583,930,862.94 and 32,564,087,538.02
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Solution
The fourth proportional to 99,716,490,555.69, 149,583,930,862.94 and 32,564,087,538.02 is: 48,849,134,097.65
Step by Step Solution
- Step 1: Write the proportion equation
99,716,490,555.69 : 149,583,930,862.94 = 32,564,087,538.02 : x - Step 2: Convert to fraction form
99,716,490,555.69/149,583,930,862.94 = 32,564,087,538.02/x - Step 3: Cross multiply
99,716,490,555.69x = 149,583,930,862.94 × 32,564,087,538.02 - Step 4: Simplify right side
99,716,490,555.69x = 4,871,064,218,901,909,864,448 - Step 5: Solve for x
x = 4,871,064,218,901,909,864,448/99,716,490,555.69 - Step 6: Final answer
x = 48,849,134,097.65
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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.