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Finding the Fourth Proportional to 524,507,807.80, 786,761,711.70 and 488,675,999.80

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Solution

The fourth proportional to 524,507,807.80, 786,761,711.70 and 488,675,999.80 is: 733,013,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,507,807.80 : 786,761,711.70 = 488,675,999.80 : x
  2. Step 2: Convert to fraction form
    524,507,807.80/786,761,711.70 = 488,675,999.80/x
  3. Step 3: Cross multiply
    524,507,807.80x = 786,761,711.70 × 488,675,999.80
  4. Step 4: Simplify right side
    524,507,807.80x = 384,471,566,069,356,864
  5. Step 5: Solve for x
    x = 384,471,566,069,356,864/524,507,807.80
  6. Step 6: Final answer
    x = 733,013,999.70

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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.