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Finding the Fourth Proportional to 275,847,768,165.70, 413,771,652,248.55 and 275,847,768,165.70

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Solution

The fourth proportional to 275,847,768,165.70, 413,771,652,248.55 and 275,847,768,165.70 is: 413,771,652,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847,768,165.70 : 413,771,652,248.55 = 275,847,768,165.70 : x
  2. Step 2: Convert to fraction form
    275,847,768,165.70/413,771,652,248.55 = 275,847,768,165.70/x
  3. Step 3: Cross multiply
    275,847,768,165.70x = 413,771,652,248.55 × 275,847,768,165.70
  4. Step 4: Simplify right side
    275,847,768,165.70x = 114,137,986,802,996,660,404,224
  5. Step 5: Solve for x
    x = 114,137,986,802,996,660,404,224/275,847,768,165.70
  6. Step 6: Final answer
    x = 413,771,652,248.55

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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.