Finding the Fourth Proportional to 509,190,284,219.35, 702,683,289,093 and 277,704,363,133.70
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Solution
The fourth proportional to 509,190,284,219.35, 702,683,289,093 and 277,704,363,133.70 is: 383,232,401,186.59
Step by Step Solution
- Step 1: Write the proportion equation
509,190,284,219.35 : 702,683,289,093 = 277,704,363,133.70 : x - Step 2: Convert to fraction form
509,190,284,219.35/702,683,289,093 = 277,704,363,133.70/x - Step 3: Cross multiply
509,190,284,219.35x = 702,683,289,093 × 277,704,363,133.70 - Step 4: Simplify right side
509,190,284,219.35x = 195,138,215,282,265,175,359,488 - Step 5: Solve for x
x = 195,138,215,282,265,175,359,488/509,190,284,219.35 - Step 6: Final answer
x = 383,232,401,186.59
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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.