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Finding the Fourth Proportional to 482,281,857,145.80, 723,422,785,718.70 and 482,281,857,145.80

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Solution

The fourth proportional to 482,281,857,145.80, 723,422,785,718.70 and 482,281,857,145.80 is: 723,422,785,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,281,857,145.80 : 723,422,785,718.70 = 482,281,857,145.80 : x
  2. Step 2: Convert to fraction form
    482,281,857,145.80/723,422,785,718.70 = 482,281,857,145.80/x
  3. Step 3: Cross multiply
    482,281,857,145.80x = 723,422,785,718.70 × 482,281,857,145.80
  4. Step 4: Simplify right side
    482,281,857,145.80x = 348,893,684,598,002,730,139,648
  5. Step 5: Solve for x
    x = 348,893,684,598,002,730,139,648/482,281,857,145.80
  6. Step 6: Final answer
    x = 723,422,785,718.70

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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.