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Finding the Fourth Proportional to 141,876,241.40, 212,814,362.10 and 141,876,241.40

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Solution

The fourth proportional to 141,876,241.40, 212,814,362.10 and 141,876,241.40 is: 212,814,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,876,241.40 : 212,814,362.10 = 141,876,241.40 : x
  2. Step 2: Convert to fraction form
    141,876,241.40/212,814,362.10 = 141,876,241.40/x
  3. Step 3: Cross multiply
    141,876,241.40x = 212,814,362.10 × 141,876,241.40
  4. Step 4: Simplify right side
    141,876,241.40x = 30,193,301,810,686,612
  5. Step 5: Solve for x
    x = 30,193,301,810,686,612/141,876,241.40
  6. Step 6: Final answer
    x = 212,814,362.10

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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.