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Finding the Fourth Proportional to 559,776,768,137.70, 839,665,152,206.55 and 559,776,768,137.70

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Solution

The fourth proportional to 559,776,768,137.70, 839,665,152,206.55 and 559,776,768,137.70 is: 839,665,152,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,776,768,137.70 : 839,665,152,206.55 = 559,776,768,137.70 : x
  2. Step 2: Convert to fraction form
    559,776,768,137.70/839,665,152,206.55 = 559,776,768,137.70/x
  3. Step 3: Cross multiply
    559,776,768,137.70x = 839,665,152,206.55 × 559,776,768,137.70
  4. Step 4: Simplify right side
    559,776,768,137.70x = 470,025,045,220,032,493,125,632
  5. Step 5: Solve for x
    x = 470,025,045,220,032,493,125,632/559,776,768,137.70
  6. Step 6: Final answer
    x = 839,665,152,206.55

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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.