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Finding the Fourth Proportional to 18,878,296,434.40, 26,380,637,405.60 and 18,878,296,434.40

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Solution

The fourth proportional to 18,878,296,434.40, 26,380,637,405.60 and 18,878,296,434.40 is: 26,380,637,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878,296,434.40 : 26,380,637,405.60 = 18,878,296,434.40 : x
  2. Step 2: Convert to fraction form
    18,878,296,434.40/26,380,637,405.60 = 18,878,296,434.40/x
  3. Step 3: Cross multiply
    18,878,296,434.40x = 26,380,637,405.60 × 18,878,296,434.40
  4. Step 4: Simplify right side
    18,878,296,434.40x = 498,021,493,071,337,750,528
  5. Step 5: Solve for x
    x = 498,021,493,071,337,750,528/18,878,296,434.40
  6. Step 6: Final answer
    x = 26,380,637,405.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.