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Finding the Fourth Proportional to 665,067,013.80, 997,600,520.70 and 648,060,901.80

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Solution

The fourth proportional to 665,067,013.80, 997,600,520.70 and 648,060,901.80 is: 972,091,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,067,013.80 : 997,600,520.70 = 648,060,901.80 : x
  2. Step 2: Convert to fraction form
    665,067,013.80/997,600,520.70 = 648,060,901.80/x
  3. Step 3: Cross multiply
    665,067,013.80x = 997,600,520.70 × 648,060,901.80
  4. Step 4: Simplify right side
    665,067,013.80x = 646,505,893,080,991,488
  5. Step 5: Solve for x
    x = 646,505,893,080,991,488/665,067,013.80
  6. Step 6: Final answer
    x = 972,091,352.70

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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.