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Finding the Fourth Proportional to 132,876,290,339.40, 185,678,521,301.40 and 132,876,290,339.40

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Solution

The fourth proportional to 132,876,290,339.40, 185,678,521,301.40 and 132,876,290,339.40 is: 185,678,521,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,876,290,339.40 : 185,678,521,301.40 = 132,876,290,339.40 : x
  2. Step 2: Convert to fraction form
    132,876,290,339.40/185,678,521,301.40 = 132,876,290,339.40/x
  3. Step 3: Cross multiply
    132,876,290,339.40x = 185,678,521,301.40 × 132,876,290,339.40
  4. Step 4: Simplify right side
    132,876,290,339.40x = 24,672,273,106,235,291,598,848
  5. Step 5: Solve for x
    x = 24,672,273,106,235,291,598,848/132,876,290,339.40
  6. Step 6: Final answer
    x = 185,678,521,301.40

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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.