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Finding the Fourth Proportional to 8,176,812.30, 12,238,646.40 and 8,176,812.30

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Solution

The fourth proportional to 8,176,812.30, 12,238,646.40 and 8,176,812.30 is: 12,238,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,812.30 : 12,238,646.40 = 8,176,812.30 : x
  2. Step 2: Convert to fraction form
    8,176,812.30/12,238,646.40 = 8,176,812.30/x
  3. Step 3: Cross multiply
    8,176,812.30x = 12,238,646.40 × 8,176,812.30
  4. Step 4: Simplify right side
    8,176,812.30x = 100,073,114,418,870.72
  5. Step 5: Solve for x
    x = 100,073,114,418,870.72/8,176,812.30
  6. Step 6: Final answer
    x = 12,238,646.40

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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.