Finding the Fourth Proportional to 6,411,664,206,957, 8,848,102,307,038.80 and 3,485,217,833,273.40
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Solution
The fourth proportional to 6,411,664,206,957, 8,848,102,307,038.80 and 3,485,217,833,273.40 is: 4,809,603,709,074.27
Step by Step Solution
- Step 1: Write the proportion equation
6,411,664,206,957 : 8,848,102,307,038.80 = 3,485,217,833,273.40 : x - Step 2: Convert to fraction form
6,411,664,206,957/8,848,102,307,038.80 = 3,485,217,833,273.40/x - Step 3: Cross multiply
6,411,664,206,957x = 8,848,102,307,038.80 × 3,485,217,833,273.40 - Step 4: Simplify right side
6,411,664,206,957x = 30,837,563,951,119,138,140,717,056 - Step 5: Solve for x
x = 30,837,563,951,119,138,140,717,056/6,411,664,206,957 - Step 6: Final answer
x = 4,809,603,709,074.27
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.