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Finding the Fourth Proportional to 285,154,668,082.45, 427,732,002,123.68 and 285,154,668,082.45

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Solution

The fourth proportional to 285,154,668,082.45, 427,732,002,123.68 and 285,154,668,082.45 is: 427,732,002,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,154,668,082.45 : 427,732,002,123.68 = 285,154,668,082.45 : x
  2. Step 2: Convert to fraction form
    285,154,668,082.45/427,732,002,123.68 = 285,154,668,082.45/x
  3. Step 3: Cross multiply
    285,154,668,082.45x = 427,732,002,123.68 × 285,154,668,082.45
  4. Step 4: Simplify right side
    285,154,668,082.45x = 121,969,777,093,819,775,320,064
  5. Step 5: Solve for x
    x = 121,969,777,093,819,775,320,064/285,154,668,082.45
  6. Step 6: Final answer
    x = 427,732,002,123.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.