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Finding the Fourth Proportional to 30,295,296,028.80, 45,442,944,043.20 and 30,295,296,028.80

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Solution

The fourth proportional to 30,295,296,028.80, 45,442,944,043.20 and 30,295,296,028.80 is: 45,442,944,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295,296,028.80 : 45,442,944,043.20 = 30,295,296,028.80 : x
  2. Step 2: Convert to fraction form
    30,295,296,028.80/45,442,944,043.20 = 30,295,296,028.80/x
  3. Step 3: Cross multiply
    30,295,296,028.80x = 45,442,944,043.20 × 30,295,296,028.80
  4. Step 4: Simplify right side
    30,295,296,028.80x = 1,376,707,442,208,937,345,024
  5. Step 5: Solve for x
    x = 1,376,707,442,208,937,345,024/30,295,296,028.80
  6. Step 6: Final answer
    x = 45,442,944,043.20

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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.