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Finding the Fourth Proportional to 16,871,238,082.65, 25,306,857,123.98 and 16,871,238,082.65

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Solution

The fourth proportional to 16,871,238,082.65, 25,306,857,123.98 and 16,871,238,082.65 is: 25,306,857,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871,238,082.65 : 25,306,857,123.98 = 16,871,238,082.65 : x
  2. Step 2: Convert to fraction form
    16,871,238,082.65/25,306,857,123.98 = 16,871,238,082.65/x
  3. Step 3: Cross multiply
    16,871,238,082.65x = 25,306,857,123.98 × 16,871,238,082.65
  4. Step 4: Simplify right side
    16,871,238,082.65x = 426,958,011,662,189,461,504
  5. Step 5: Solve for x
    x = 426,958,011,662,189,461,504/16,871,238,082.65
  6. Step 6: Final answer
    x = 25,306,857,123.98

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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.