Finding the Fourth Proportional to 60,712,180,705,352, 83,782,809,373,392 and 34,728,663,349,102
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Solution
The fourth proportional to 60,712,180,705,352, 83,782,809,373,392 and 34,728,663,349,102 is: 47,925,555,421,764.34
Step by Step Solution
- Step 1: Write the proportion equation
60,712,180,705,352 : 83,782,809,373,392 = 34,728,663,349,102 : x - Step 2: Convert to fraction form
60,712,180,705,352/83,782,809,373,392 = 34,728,663,349,102/x - Step 3: Cross multiply
60,712,180,705,352x = 83,782,809,373,392 × 34,728,663,349,102 - Step 4: Simplify right side
60,712,180,705,352x = 2,909,664,981,170,518,412,048,203,776 - Step 5: Solve for x
x = 2,909,664,981,170,518,412,048,203,776/60,712,180,705,352 - Step 6: Final answer
x = 47,925,555,421,764.34
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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.