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Finding the Fourth Proportional to 765,297,536.40, 1,073,457,284.40 and 765,297,536.40

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Solution

The fourth proportional to 765,297,536.40, 1,073,457,284.40 and 765,297,536.40 is: 1,073,457,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,297,536.40 : 1,073,457,284.40 = 765,297,536.40 : x
  2. Step 2: Convert to fraction form
    765,297,536.40/1,073,457,284.40 = 765,297,536.40/x
  3. Step 3: Cross multiply
    765,297,536.40x = 1,073,457,284.40 × 765,297,536.40
  4. Step 4: Simplify right side
    765,297,536.40x = 821,514,215,181,954,048
  5. Step 5: Solve for x
    x = 821,514,215,181,954,048/765,297,536.40
  6. Step 6: Final answer
    x = 1,073,457,284.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.