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Finding the Fourth Proportional to 65,412,138.40, 97,905,631.20 and 65,412,138.40

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Solution

The fourth proportional to 65,412,138.40, 97,905,631.20 and 65,412,138.40 is: 97,905,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412,138.40 : 97,905,631.20 = 65,412,138.40 : x
  2. Step 2: Convert to fraction form
    65,412,138.40/97,905,631.20 = 65,412,138.40/x
  3. Step 3: Cross multiply
    65,412,138.40x = 97,905,631.20 × 65,412,138.40
  4. Step 4: Simplify right side
    65,412,138.40x = 6,404,216,698,193,758
  5. Step 5: Solve for x
    x = 6,404,216,698,193,758/65,412,138.40
  6. Step 6: Final answer
    x = 97,905,631.20

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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.