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Finding the Fourth Proportional to 25,676,352,023.10, 38,514,528,034.65 and 25,676,352,023.10

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Solution

The fourth proportional to 25,676,352,023.10, 38,514,528,034.65 and 25,676,352,023.10 is: 38,514,528,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676,352,023.10 : 38,514,528,034.65 = 25,676,352,023.10 : x
  2. Step 2: Convert to fraction form
    25,676,352,023.10/38,514,528,034.65 = 25,676,352,023.10/x
  3. Step 3: Cross multiply
    25,676,352,023.10x = 38,514,528,034.65 × 25,676,352,023.10
  4. Step 4: Simplify right side
    25,676,352,023.10x = 988,912,579,821,227,212,800
  5. Step 5: Solve for x
    x = 988,912,579,821,227,212,800/25,676,352,023.10
  6. Step 6: Final answer
    x = 38,514,528,034.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.