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Finding the Fourth Proportional to 18,878,296,435.40, 26,380,637,407 and 18,878,296,435.40

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Solution

The fourth proportional to 18,878,296,435.40, 26,380,637,407 and 18,878,296,435.40 is: 26,380,637,407

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878,296,435.40 : 26,380,637,407 = 18,878,296,435.40 : x
  2. Step 2: Convert to fraction form
    18,878,296,435.40/26,380,637,407 = 18,878,296,435.40/x
  3. Step 3: Cross multiply
    18,878,296,435.40x = 26,380,637,407 × 18,878,296,435.40
  4. Step 4: Simplify right side
    18,878,296,435.40x = 498,021,493,124,148,035,584
  5. Step 5: Solve for x
    x = 498,021,493,124,148,035,584/18,878,296,435.40
  6. Step 6: Final answer
    x = 26,380,637,407

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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.