Finding the Fourth Proportional to 6,376,207,248,795.70, 9,564,310,873,193.60 and 6,376,207,248,795.70
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Solution
The fourth proportional to 6,376,207,248,795.70, 9,564,310,873,193.60 and 6,376,207,248,795.70 is: 9,564,310,873,193.60
Step by Step Solution
- Step 1: Write the proportion equation
6,376,207,248,795.70 : 9,564,310,873,193.60 = 6,376,207,248,795.70 : x - Step 2: Convert to fraction form
6,376,207,248,795.70/9,564,310,873,193.60 = 6,376,207,248,795.70/x - Step 3: Cross multiply
6,376,207,248,795.70x = 9,564,310,873,193.60 × 6,376,207,248,795.70 - Step 4: Simplify right side
6,376,207,248,795.70x = 60,984,028,319,392,563,948,683,264 - Step 5: Solve for x
x = 60,984,028,319,392,563,948,683,264/6,376,207,248,795.70 - Step 6: Final answer
x = 9,564,310,873,193.60
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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.