Finding the Fourth Proportional to 314,732,977,703.93, 434,331,505,868.41 and 170,217,107,397.96
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Solution
The fourth proportional to 314,732,977,703.93, 434,331,505,868.41 and 170,217,107,397.96 is: 234,899,606,390.37
Step by Step Solution
- Step 1: Write the proportion equation
314,732,977,703.93 : 434,331,505,868.41 = 170,217,107,397.96 : x - Step 2: Convert to fraction form
314,732,977,703.93/434,331,505,868.41 = 170,217,107,397.96/x - Step 3: Cross multiply
314,732,977,703.93x = 434,331,505,868.41 × 170,217,107,397.96 - Step 4: Simplify right side
314,732,977,703.93x = 73,930,652,580,720,834,248,704 - Step 5: Solve for x
x = 73,930,652,580,720,834,248,704/314,732,977,703.93 - Step 6: Final answer
x = 234,899,606,390.37
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.