Finding the Fourth Proportional to 84,536,734,128.24, 116,660,768,143.32 and 46,475,588,688.24
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Solution
The fourth proportional to 84,536,734,128.24, 116,660,768,143.32 and 46,475,588,688.24 is: 64,136,353,647.85
Step by Step Solution
- Step 1: Write the proportion equation
84,536,734,128.24 : 116,660,768,143.32 = 46,475,588,688.24 : x - Step 2: Convert to fraction form
84,536,734,128.24/116,660,768,143.32 = 46,475,588,688.24/x - Step 3: Cross multiply
84,536,734,128.24x = 116,660,768,143.32 × 46,475,588,688.24 - Step 4: Simplify right side
84,536,734,128.24x = 5,421,877,876,283,072,839,680 - Step 5: Solve for x
x = 5,421,877,876,283,072,839,680/84,536,734,128.24 - Step 6: Final answer
x = 64,136,353,647.85
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1.5x scale
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.