Finding the Fourth Proportional to 227,092,886,488.85, 313,320,147,283.34 and 130,746,495,768.48
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Solution
The fourth proportional to 227,092,886,488.85, 313,320,147,283.34 and 130,746,495,768.48 is: 180,390,993,061.65
Step by Step Solution
- Step 1: Write the proportion equation
227,092,886,488.85 : 313,320,147,283.34 = 130,746,495,768.48 : x - Step 2: Convert to fraction form
227,092,886,488.85/313,320,147,283.34 = 130,746,495,768.48/x - Step 3: Cross multiply
227,092,886,488.85x = 313,320,147,283.34 × 130,746,495,768.48 - Step 4: Simplify right side
227,092,886,488.85x = 40,965,511,310,960,746,299,392 - Step 5: Solve for x
x = 40,965,511,310,960,746,299,392/227,092,886,488.85 - Step 6: Final answer
x = 180,390,993,061.65
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.