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Finding the Fourth Proportional to 565,164,822.80, 847,787,590.50 and 150,639,472.68

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Solution

The fourth proportional to 565,164,822.80, 847,787,590.50 and 150,639,472.68 is: 225,969,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,164,822.80 : 847,787,590.50 = 150,639,472.68 : x
  2. Step 2: Convert to fraction form
    565,164,822.80/847,787,590.50 = 150,639,472.68/x
  3. Step 3: Cross multiply
    565,164,822.80x = 847,787,590.50 × 150,639,472.68
  4. Step 4: Simplify right side
    565,164,822.80x = 127,710,275,577,567,776
  5. Step 5: Solve for x
    x = 127,710,275,577,567,776/565,164,822.80
  6. Step 6: Final answer
    x = 225,969,965.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.