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Finding the Fourth Proportional to 65,191,008,024.10, 97,786,512,036.15 and 65,191,008,024.10

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Solution

The fourth proportional to 65,191,008,024.10, 97,786,512,036.15 and 65,191,008,024.10 is: 97,786,512,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191,008,024.10 : 97,786,512,036.15 = 65,191,008,024.10 : x
  2. Step 2: Convert to fraction form
    65,191,008,024.10/97,786,512,036.15 = 65,191,008,024.10/x
  3. Step 3: Cross multiply
    65,191,008,024.10x = 97,786,512,036.15 × 65,191,008,024.10
  4. Step 4: Simplify right side
    65,191,008,024.10x = 6,374,801,290,797,405,700,096
  5. Step 5: Solve for x
    x = 6,374,801,290,797,405,700,096/65,191,008,024.10
  6. Step 6: Final answer
    x = 97,786,512,036.15

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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.