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Finding the Fourth Proportional to 664,358,436.80, 996,532,406.40 and 173,070,756.80

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Solution

The fourth proportional to 664,358,436.80, 996,532,406.40 and 173,070,756.80 is: 259,604,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,358,436.80 : 996,532,406.40 = 173,070,756.80 : x
  2. Step 2: Convert to fraction form
    664,358,436.80/996,532,406.40 = 173,070,756.80/x
  3. Step 3: Cross multiply
    664,358,436.80x = 996,532,406.40 × 173,070,756.80
  4. Step 4: Simplify right side
    664,358,436.80x = 172,470,617,751,373,184
  5. Step 5: Solve for x
    x = 172,470,617,751,373,184/664,358,436.80
  6. Step 6: Final answer
    x = 259,604,767.85

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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.