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Finding the Fourth Proportional to 478,391,459.20, 670,201,539.20 and 478,391,459.20

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Solution

The fourth proportional to 478,391,459.20, 670,201,539.20 and 478,391,459.20 is: 670,201,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,391,459.20 : 670,201,539.20 = 478,391,459.20 : x
  2. Step 2: Convert to fraction form
    478,391,459.20/670,201,539.20 = 478,391,459.20/x
  3. Step 3: Cross multiply
    478,391,459.20x = 670,201,539.20 × 478,391,459.20
  4. Step 4: Simplify right side
    478,391,459.20x = 320,618,692,295,974,016
  5. Step 5: Solve for x
    x = 320,618,692,295,974,016/478,391,459.20
  6. Step 6: Final answer
    x = 670,201,539.20

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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.