Finding the Fourth Proportional to 5,667,739,777,830.50, 8,501,609,666,746 and 5,667,739,777,830.50
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Solution
The fourth proportional to 5,667,739,777,830.50, 8,501,609,666,746 and 5,667,739,777,830.50 is: 8,501,609,666,746
Step by Step Solution
- Step 1: Write the proportion equation
5,667,739,777,830.50 : 8,501,609,666,746 = 5,667,739,777,830.50 : x - Step 2: Convert to fraction form
5,667,739,777,830.50/8,501,609,666,746 = 5,667,739,777,830.50/x - Step 3: Cross multiply
5,667,739,777,830.50x = 8,501,609,666,746 × 5,667,739,777,830.50 - Step 4: Simplify right side
5,667,739,777,830.50x = 48,184,911,283,804,606,165,942,272 - Step 5: Solve for x
x = 48,184,911,283,804,606,165,942,272/5,667,739,777,830.50 - Step 6: Final answer
x = 8,501,609,666,746
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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.