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Finding the Fourth Proportional to 57,495,278,320.30, 86,242,917,480.45 and 57,495,278,320.30

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Solution

The fourth proportional to 57,495,278,320.30, 86,242,917,480.45 and 57,495,278,320.30 is: 86,242,917,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,495,278,320.30 : 86,242,917,480.45 = 57,495,278,320.30 : x
  2. Step 2: Convert to fraction form
    57,495,278,320.30/86,242,917,480.45 = 57,495,278,320.30/x
  3. Step 3: Cross multiply
    57,495,278,320.30x = 86,242,917,480.45 × 57,495,278,320.30
  4. Step 4: Simplify right side
    57,495,278,320.30x = 4,958,560,543,693,139,345,408
  5. Step 5: Solve for x
    x = 4,958,560,543,693,139,345,408/57,495,278,320.30
  6. Step 6: Final answer
    x = 86,242,917,480.45

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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.