Finding the Fourth Proportional to 60,712,180,705,356, 83,782,809,373,396 and 34,728,663,349,106
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Solution
The fourth proportional to 60,712,180,705,356, 83,782,809,373,396 and 34,728,663,349,106 is: 47,925,555,421,768.98
Step by Step Solution
- Step 1: Write the proportion equation
60,712,180,705,356 : 83,782,809,373,396 = 34,728,663,349,106 : x - Step 2: Convert to fraction form
60,712,180,705,356/83,782,809,373,396 = 34,728,663,349,106/x - Step 3: Cross multiply
60,712,180,705,356x = 83,782,809,373,396 × 34,728,663,349,106 - Step 4: Simplify right side
60,712,180,705,356x = 2,909,664,981,170,992,301,559,775,232 - Step 5: Solve for x
x = 2,909,664,981,170,992,301,559,775,232/60,712,180,705,356 - Step 6: Final answer
x = 47,925,555,421,768.98
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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.