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Finding the Fourth Proportional to 559,776,768,859.20, 839,665,153,288.80 and 559,776,768,859.20

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Solution

The fourth proportional to 559,776,768,859.20, 839,665,153,288.80 and 559,776,768,859.20 is: 839,665,153,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,776,768,859.20 : 839,665,153,288.80 = 559,776,768,859.20 : x
  2. Step 2: Convert to fraction form
    559,776,768,859.20/839,665,153,288.80 = 559,776,768,859.20/x
  3. Step 3: Cross multiply
    559,776,768,859.20x = 839,665,153,288.80 × 559,776,768,859.20
  4. Step 4: Simplify right side
    559,776,768,859.20x = 470,025,046,431,669,342,437,376
  5. Step 5: Solve for x
    x = 470,025,046,431,669,342,437,376/559,776,768,859.20
  6. Step 6: Final answer
    x = 839,665,153,288.80

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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.