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Finding the Fourth Proportional to 25,649,142,714.45, 38,412,492,068.48 and 25,649,142,714.45

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Solution

The fourth proportional to 25,649,142,714.45, 38,412,492,068.48 and 25,649,142,714.45 is: 38,412,492,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649,142,714.45 : 38,412,492,068.48 = 25,649,142,714.45 : x
  2. Step 2: Convert to fraction form
    25,649,142,714.45/38,412,492,068.48 = 25,649,142,714.45/x
  3. Step 3: Cross multiply
    25,649,142,714.45x = 38,412,492,068.48 × 25,649,142,714.45
  4. Step 4: Simplify right side
    25,649,142,714.45x = 985,247,491,081,993,977,856
  5. Step 5: Solve for x
    x = 985,247,491,081,993,977,856/25,649,142,714.45
  6. Step 6: Final answer
    x = 38,412,492,068.48

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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.