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Finding the Fourth Proportional to 25,681,212,010.20, 38,521,818,015.40 and 25,681,212,010.20

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Solution

The fourth proportional to 25,681,212,010.20, 38,521,818,015.40 and 25,681,212,010.20 is: 38,521,818,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,681,212,010.20 : 38,521,818,015.40 = 25,681,212,010.20 : x
  2. Step 2: Convert to fraction form
    25,681,212,010.20/38,521,818,015.40 = 25,681,212,010.20/x
  3. Step 3: Cross multiply
    25,681,212,010.20x = 38,521,818,015.40 × 25,681,212,010.20
  4. Step 4: Simplify right side
    25,681,212,010.20x = 989,286,975,471,829,254,144
  5. Step 5: Solve for x
    x = 989,286,975,471,829,254,144/25,681,212,010.20
  6. Step 6: Final answer
    x = 38,521,818,015.40

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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.