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Finding the Fourth Proportional to 25,193,454,678.40, 37,790,182,017.60 and 25,193,454,678.40

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Solution

The fourth proportional to 25,193,454,678.40, 37,790,182,017.60 and 25,193,454,678.40 is: 37,790,182,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193,454,678.40 : 37,790,182,017.60 = 25,193,454,678.40 : x
  2. Step 2: Convert to fraction form
    25,193,454,678.40/37,790,182,017.60 = 25,193,454,678.40/x
  3. Step 3: Cross multiply
    25,193,454,678.40x = 37,790,182,017.60 × 25,193,454,678.40
  4. Step 4: Simplify right side
    25,193,454,678.40x = 952,065,237,948,892,315,648
  5. Step 5: Solve for x
    x = 952,065,237,948,892,315,648/25,193,454,678.40
  6. Step 6: Final answer
    x = 37,790,182,017.60

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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.