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Finding the Fourth Proportional to 532,671,571.80, 798,865,640.10 and 164,205,811.80

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Solution

The fourth proportional to 532,671,571.80, 798,865,640.10 and 164,205,811.80 is: 246,265,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,671,571.80 : 798,865,640.10 = 164,205,811.80 : x
  2. Step 2: Convert to fraction form
    532,671,571.80/798,865,640.10 = 164,205,811.80/x
  3. Step 3: Cross multiply
    532,671,571.80x = 798,865,640.10 × 164,205,811.80
  4. Step 4: Simplify right side
    532,671,571.80x = 131,178,380,951,747,152
  5. Step 5: Solve for x
    x = 131,178,380,951,747,152/532,671,571.80
  6. Step 6: Final answer
    x = 246,265,030.64

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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.