Finding the Fourth Proportional to 645,302,159,870.78, 890,595,069,006.36 and 367,272,322,294
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Solution
The fourth proportional to 645,302,159,870.78, 890,595,069,006.36 and 367,272,322,294 is: 506,880,248,600.21
Step by Step Solution
- Step 1: Write the proportion equation
645,302,159,870.78 : 890,595,069,006.36 = 367,272,322,294 : x - Step 2: Convert to fraction form
645,302,159,870.78/890,595,069,006.36 = 367,272,322,294/x - Step 3: Cross multiply
645,302,159,870.78x = 890,595,069,006.36 × 367,272,322,294 - Step 4: Simplify right side
645,302,159,870.78x = 327,090,919,217,551,030,353,920 - Step 5: Solve for x
x = 327,090,919,217,551,030,353,920/645,302,159,870.78 - Step 6: Final answer
x = 506,880,248,600.21
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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.