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Finding the Fourth Proportional to 445,535,107,205.40, 668,302,660,808.10 and 445,535,107,205.40

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Solution

The fourth proportional to 445,535,107,205.40, 668,302,660,808.10 and 445,535,107,205.40 is: 668,302,660,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,535,107,205.40 : 668,302,660,808.10 = 445,535,107,205.40 : x
  2. Step 2: Convert to fraction form
    445,535,107,205.40/668,302,660,808.10 = 445,535,107,205.40/x
  3. Step 3: Cross multiply
    445,535,107,205.40x = 668,302,660,808.10 × 445,535,107,205.40
  4. Step 4: Simplify right side
    445,535,107,205.40x = 297,752,297,628,790,901,702,656
  5. Step 5: Solve for x
    x = 297,752,297,628,790,901,702,656/445,535,107,205.40
  6. Step 6: Final answer
    x = 668,302,660,808.10

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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.