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Finding the Fourth Proportional to 65,271,996.80, 97,824,014.40 and 39,685,846.40

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Solution

The fourth proportional to 65,271,996.80, 97,824,014.40 and 39,685,846.40 is: 59,477,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,271,996.80 : 97,824,014.40 = 39,685,846.40 : x
  2. Step 2: Convert to fraction form
    65,271,996.80/97,824,014.40 = 39,685,846.40/x
  3. Step 3: Cross multiply
    65,271,996.80x = 97,824,014.40 × 39,685,846.40
  4. Step 4: Simplify right side
    65,271,996.80x = 3,882,228,809,709,788.50
  5. Step 5: Solve for x
    x = 3,882,228,809,709,788.50/65,271,996.80
  6. Step 6: Final answer
    x = 59,477,708.67

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Why These Related Problems?

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