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Finding the Fourth Proportional to 141,876,278.40, 212,814,417.69 and 141,876,278.40

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Solution

The fourth proportional to 141,876,278.40, 212,814,417.69 and 141,876,278.40 is: 212,814,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,876,278.40 : 212,814,417.69 = 141,876,278.40 : x
  2. Step 2: Convert to fraction form
    141,876,278.40/212,814,417.69 = 141,876,278.40/x
  3. Step 3: Cross multiply
    141,876,278.40x = 212,814,417.69 × 141,876,278.40
  4. Step 4: Simplify right side
    141,876,278.40x = 30,193,317,571,720,324
  5. Step 5: Solve for x
    x = 30,193,317,571,720,324/141,876,278.40
  6. Step 6: Final answer
    x = 212,814,417.69

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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.