Finding the Fourth Proportional to 9,889,587,218,085.60, 14,834,380,827,128 and 9,889,587,218,085.60
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Solution
The fourth proportional to 9,889,587,218,085.60, 14,834,380,827,128 and 9,889,587,218,085.60 is: 14,834,380,827,128
Step by Step Solution
- Step 1: Write the proportion equation
9,889,587,218,085.60 : 14,834,380,827,128 = 9,889,587,218,085.60 : x - Step 2: Convert to fraction form
9,889,587,218,085.60/14,834,380,827,128 = 9,889,587,218,085.60/x - Step 3: Cross multiply
9,889,587,218,085.60x = 14,834,380,827,128 × 9,889,587,218,085.60 - Step 4: Simplify right side
9,889,587,218,085.60x = 146,705,903,016,179,161,762,889,728 - Step 5: Solve for x
x = 146,705,903,016,179,161,762,889,728/9,889,587,218,085.60 - Step 6: Final answer
x = 14,834,380,827,128
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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.