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Finding the Fourth Proportional to 540,701,999.90, 811,052,999.85 and 540,701,999.90

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Solution

The fourth proportional to 540,701,999.90, 811,052,999.85 and 540,701,999.90 is: 811,052,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,701,999.90 : 811,052,999.85 = 540,701,999.90 : x
  2. Step 2: Convert to fraction form
    540,701,999.90/811,052,999.85 = 540,701,999.90/x
  3. Step 3: Cross multiply
    540,701,999.90x = 811,052,999.85 × 540,701,999.90
  4. Step 4: Simplify right side
    540,701,999.90x = 438,537,979,043,789,376
  5. Step 5: Solve for x
    x = 438,537,979,043,789,376/540,701,999.90
  6. Step 6: Final answer
    x = 811,052,999.85

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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.