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Finding the Fourth Proportional to 577,372,206.60, 864,357,698.70 and 543,737,896.20

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Solution

The fourth proportional to 577,372,206.60, 864,357,698.70 and 543,737,896.20 is: 814,005,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,372,206.60 : 864,357,698.70 = 543,737,896.20 : x
  2. Step 2: Convert to fraction form
    577,372,206.60/864,357,698.70 = 543,737,896.20/x
  3. Step 3: Cross multiply
    577,372,206.60x = 864,357,698.70 × 543,737,896.20
  4. Step 4: Simplify right side
    577,372,206.60x = 469,984,036,655,411,520
  5. Step 5: Solve for x
    x = 469,984,036,655,411,520/577,372,206.60
  6. Step 6: Final answer
    x = 814,005,300.71

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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.