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Finding the Fourth Proportional to 334,168,758,082.30, 501,253,137,123.45 and 334,168,758,082.30

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Solution

The fourth proportional to 334,168,758,082.30, 501,253,137,123.45 and 334,168,758,082.30 is: 501,253,137,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,168,758,082.30 : 501,253,137,123.45 = 334,168,758,082.30 : x
  2. Step 2: Convert to fraction form
    334,168,758,082.30/501,253,137,123.45 = 334,168,758,082.30/x
  3. Step 3: Cross multiply
    334,168,758,082.30x = 501,253,137,123.45 × 334,168,758,082.30
  4. Step 4: Simplify right side
    334,168,758,082.30x = 167,503,138,317,400,115,511,296
  5. Step 5: Solve for x
    x = 167,503,138,317,400,115,511,296/334,168,758,082.30
  6. Step 6: Final answer
    x = 501,253,137,123.45

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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.