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Finding the Fourth Proportional to 75,580,360,848.70, 113,370,541,273.05 and 75,580,360,848.70

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Solution

The fourth proportional to 75,580,360,848.70, 113,370,541,273.05 and 75,580,360,848.70 is: 113,370,541,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,580,360,848.70 : 113,370,541,273.05 = 75,580,360,848.70 : x
  2. Step 2: Convert to fraction form
    75,580,360,848.70/113,370,541,273.05 = 75,580,360,848.70/x
  3. Step 3: Cross multiply
    75,580,360,848.70x = 113,370,541,273.05 × 75,580,360,848.70
  4. Step 4: Simplify right side
    75,580,360,848.70x = 8,568,586,419,029,555,544,064
  5. Step 5: Solve for x
    x = 8,568,586,419,029,555,544,064/75,580,360,848.70
  6. Step 6: Final answer
    x = 113,370,541,273.05

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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.