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Finding the Fourth Proportional to 268,809,502,667.20, 403,214,254,000.78 and 268,809,502,667.20

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Solution

The fourth proportional to 268,809,502,667.20, 403,214,254,000.78 and 268,809,502,667.20 is: 403,214,254,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,809,502,667.20 : 403,214,254,000.78 = 268,809,502,667.20 : x
  2. Step 2: Convert to fraction form
    268,809,502,667.20/403,214,254,000.78 = 268,809,502,667.20/x
  3. Step 3: Cross multiply
    268,809,502,667.20x = 403,214,254,000.78 × 268,809,502,667.20
  4. Step 4: Simplify right side
    268,809,502,667.20x = 108,387,823,086,275,745,808,384
  5. Step 5: Solve for x
    x = 108,387,823,086,275,745,808,384/268,809,502,667.20
  6. Step 6: Final answer
    x = 403,214,254,000.78

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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.