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Finding the Fourth Proportional to 524,448,238.15, 785,160,702.83 and 524,448,238.15

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Solution

The fourth proportional to 524,448,238.15, 785,160,702.83 and 524,448,238.15 is: 785,160,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448,238.15 : 785,160,702.83 = 524,448,238.15 : x
  2. Step 2: Convert to fraction form
    524,448,238.15/785,160,702.83 = 524,448,238.15/x
  3. Step 3: Cross multiply
    524,448,238.15x = 785,160,702.83 × 524,448,238.15
  4. Step 4: Simplify right side
    524,448,238.15x = 411,776,147,261,187,008
  5. Step 5: Solve for x
    x = 411,776,147,261,187,008/524,448,238.15
  6. Step 6: Final answer
    x = 785,160,702.83

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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.