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Finding the Fourth Proportional to 984,312,935.60, 1,476,469,403.40 and 969,007,434.80

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Solution

The fourth proportional to 984,312,935.60, 1,476,469,403.40 and 969,007,434.80 is: 1,453,511,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,312,935.60 : 1,476,469,403.40 = 969,007,434.80 : x
  2. Step 2: Convert to fraction form
    984,312,935.60/1,476,469,403.40 = 969,007,434.80/x
  3. Step 3: Cross multiply
    984,312,935.60x = 1,476,469,403.40 × 969,007,434.80
  4. Step 4: Simplify right side
    984,312,935.60x = 1,430,709,829,149,320,448
  5. Step 5: Solve for x
    x = 1,430,709,829,149,320,448/984,312,935.60
  6. Step 6: Final answer
    x = 1,453,511,152.20

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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.