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Finding the Fourth Proportional to 971,752,505.20, 1,457,628,757.80 and 971,752,505.20

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Solution

The fourth proportional to 971,752,505.20, 1,457,628,757.80 and 971,752,505.20 is: 1,457,628,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,752,505.20 : 1,457,628,757.80 = 971,752,505.20 : x
  2. Step 2: Convert to fraction form
    971,752,505.20/1,457,628,757.80 = 971,752,505.20/x
  3. Step 3: Cross multiply
    971,752,505.20x = 1,457,628,757.80 × 971,752,505.20
  4. Step 4: Simplify right side
    971,752,505.20x = 1,416,454,397,043,714,048
  5. Step 5: Solve for x
    x = 1,416,454,397,043,714,048/971,752,505.20
  6. Step 6: Final answer
    x = 1,457,628,757.80

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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.