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Finding the Fourth Proportional to 82,709,772.30, 124,064,658.45 and 82,709,772.30

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Solution

The fourth proportional to 82,709,772.30, 124,064,658.45 and 82,709,772.30 is: 124,064,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709,772.30 : 124,064,658.45 = 82,709,772.30 : x
  2. Step 2: Convert to fraction form
    82,709,772.30/124,064,658.45 = 82,709,772.30/x
  3. Step 3: Cross multiply
    82,709,772.30x = 124,064,658.45 × 82,709,772.30
  4. Step 4: Simplify right side
    82,709,772.30x = 10,261,359,650,876,770
  5. Step 5: Solve for x
    x = 10,261,359,650,876,770/82,709,772.30
  6. Step 6: Final answer
    x = 124,064,658.45

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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.