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Finding the Fourth Proportional to 82,810,672.65, 124,216,008.98 and 82,810,672.65

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Solution

The fourth proportional to 82,810,672.65, 124,216,008.98 and 82,810,672.65 is: 124,216,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,810,672.65 : 124,216,008.98 = 82,810,672.65 : x
  2. Step 2: Convert to fraction form
    82,810,672.65/124,216,008.98 = 82,810,672.65/x
  3. Step 3: Cross multiply
    82,810,672.65x = 124,216,008.98 × 82,810,672.65
  4. Step 4: Simplify right side
    82,810,672.65x = 10,286,411,257,118,188
  5. Step 5: Solve for x
    x = 10,286,411,257,118,188/82,810,672.65
  6. Step 6: Final answer
    x = 124,216,008.98

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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.