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Finding the Fourth Proportional to 664,396,031.70, 996,594,047.55 and 664,396,031.70

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Solution

The fourth proportional to 664,396,031.70, 996,594,047.55 and 664,396,031.70 is: 996,594,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,396,031.70 : 996,594,047.55 = 664,396,031.70 : x
  2. Step 2: Convert to fraction form
    664,396,031.70/996,594,047.55 = 664,396,031.70/x
  3. Step 3: Cross multiply
    664,396,031.70x = 996,594,047.55 × 664,396,031.70
  4. Step 4: Simplify right side
    664,396,031.70x = 662,133,130,408,061,184
  5. Step 5: Solve for x
    x = 662,133,130,408,061,184/664,396,031.70
  6. Step 6: Final answer
    x = 996,594,047.55

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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.