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Finding the Fourth Proportional to 48,693,296,564.70, 73,039,944,847.05 and 48,693,296,564.70

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Solution

The fourth proportional to 48,693,296,564.70, 73,039,944,847.05 and 48,693,296,564.70 is: 73,039,944,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,693,296,564.70 : 73,039,944,847.05 = 48,693,296,564.70 : x
  2. Step 2: Convert to fraction form
    48,693,296,564.70/73,039,944,847.05 = 48,693,296,564.70/x
  3. Step 3: Cross multiply
    48,693,296,564.70x = 73,039,944,847.05 × 48,693,296,564.70
  4. Step 4: Simplify right side
    48,693,296,564.70x = 3,556,555,695,506,737,070,080
  5. Step 5: Solve for x
    x = 3,556,555,695,506,737,070,080/48,693,296,564.70
  6. Step 6: Final answer
    x = 73,039,944,847.05

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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.