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Finding the Fourth Proportional to 16,911,324,007.90, 25,366,986,011.85 and 16,911,324,007.90

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Solution

The fourth proportional to 16,911,324,007.90, 25,366,986,011.85 and 16,911,324,007.90 is: 25,366,986,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911,324,007.90 : 25,366,986,011.85 = 16,911,324,007.90 : x
  2. Step 2: Convert to fraction form
    16,911,324,007.90/25,366,986,011.85 = 16,911,324,007.90/x
  3. Step 3: Cross multiply
    16,911,324,007.90x = 25,366,986,011.85 × 16,911,324,007.90
  4. Step 4: Simplify right side
    16,911,324,007.90x = 428,989,319,550,262,312,960
  5. Step 5: Solve for x
    x = 428,989,319,550,262,312,960/16,911,324,007.90
  6. Step 6: Final answer
    x = 25,366,986,011.85

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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.