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Finding the Fourth Proportional to 9,585,654,166.80, 14,378,481,250.20 and 9,585,654,166.80

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Solution

The fourth proportional to 9,585,654,166.80, 14,378,481,250.20 and 9,585,654,166.80 is: 14,378,481,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585,654,166.80 : 14,378,481,250.20 = 9,585,654,166.80 : x
  2. Step 2: Convert to fraction form
    9,585,654,166.80/14,378,481,250.20 = 9,585,654,166.80/x
  3. Step 3: Cross multiply
    9,585,654,166.80x = 14,378,481,250.20 × 9,585,654,166.80
  4. Step 4: Simplify right side
    9,585,654,166.80x = 137,827,148,708,235,296,768
  5. Step 5: Solve for x
    x = 137,827,148,708,235,296,768/9,585,654,166.80
  6. Step 6: Final answer
    x = 14,378,481,250.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.