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Finding the Fourth Proportional to 442,510,113.40, 662,489,711.70 and 442,510,113.40

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Solution

The fourth proportional to 442,510,113.40, 662,489,711.70 and 442,510,113.40 is: 662,489,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,510,113.40 : 662,489,711.70 = 442,510,113.40 : x
  2. Step 2: Convert to fraction form
    442,510,113.40/662,489,711.70 = 442,510,113.40/x
  3. Step 3: Cross multiply
    442,510,113.40x = 662,489,711.70 × 442,510,113.40
  4. Step 4: Simplify right side
    442,510,113.40x = 293,158,397,450,700,288
  5. Step 5: Solve for x
    x = 293,158,397,450,700,288/442,510,113.40
  6. Step 6: Final answer
    x = 662,489,711.70

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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.