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Finding the Fourth Proportional to 565,164,832.80, 847,787,605.50 and 150,639,482.67

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Solution

The fourth proportional to 565,164,832.80, 847,787,605.50 and 150,639,482.67 is: 225,969,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,164,832.80 : 847,787,605.50 = 150,639,482.67 : x
  2. Step 2: Convert to fraction form
    565,164,832.80/847,787,605.50 = 150,639,482.67/x
  3. Step 3: Cross multiply
    565,164,832.80x = 847,787,605.50 × 150,639,482.67
  4. Step 4: Simplify right side
    565,164,832.80x = 127,710,286,306,558,032
  5. Step 5: Solve for x
    x = 127,710,286,306,558,032/565,164,832.80
  6. Step 6: Final answer
    x = 225,969,980.61

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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.