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Finding the Fourth Proportional to 1,530,594,703.80, 2,146,914,052.20 and 1,530,594,703.80

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Solution

The fourth proportional to 1,530,594,703.80, 2,146,914,052.20 and 1,530,594,703.80 is: 2,146,914,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,594,703.80 : 2,146,914,052.20 = 1,530,594,703.80 : x
  2. Step 2: Convert to fraction form
    1,530,594,703.80/2,146,914,052.20 = 1,530,594,703.80/x
  3. Step 3: Cross multiply
    1,530,594,703.80x = 2,146,914,052.20 × 1,530,594,703.80
  4. Step 4: Simplify right side
    1,530,594,703.80x = 3,286,055,277,811,116,544
  5. Step 5: Solve for x
    x = 3,286,055,277,811,116,544/1,530,594,703.80
  6. Step 6: Final answer
    x = 2,146,914,052.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.