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Finding the Fourth Proportional to 517,949,105.80, 776,923,658.70 and 517,949,105.80

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Solution

The fourth proportional to 517,949,105.80, 776,923,658.70 and 517,949,105.80 is: 776,923,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,949,105.80 : 776,923,658.70 = 517,949,105.80 : x
  2. Step 2: Convert to fraction form
    517,949,105.80/776,923,658.70 = 517,949,105.80/x
  3. Step 3: Cross multiply
    517,949,105.80x = 776,923,658.70 × 517,949,105.80
  4. Step 4: Simplify right side
    517,949,105.80x = 402,406,914,298,529,408
  5. Step 5: Solve for x
    x = 402,406,914,298,529,408/517,949,105.80
  6. Step 6: Final answer
    x = 776,923,658.70

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1.5x scale

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.