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Finding the Fourth Proportional to 17,384,991,290.40, 26,077,486,935.60 and 17,384,991,290.40

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Solution

The fourth proportional to 17,384,991,290.40, 26,077,486,935.60 and 17,384,991,290.40 is: 26,077,486,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384,991,290.40 : 26,077,486,935.60 = 17,384,991,290.40 : x
  2. Step 2: Convert to fraction form
    17,384,991,290.40/26,077,486,935.60 = 17,384,991,290.40/x
  3. Step 3: Cross multiply
    17,384,991,290.40x = 26,077,486,935.60 × 17,384,991,290.40
  4. Step 4: Simplify right side
    17,384,991,290.40x = 453,356,883,250,925,797,376
  5. Step 5: Solve for x
    x = 453,356,883,250,925,797,376/17,384,991,290.40
  6. Step 6: Final answer
    x = 26,077,486,935.60

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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.