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Finding the Fourth Proportional to 3,219,417,823.40, 4,829,126,735.10 and 3,219,417,823.40

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Solution

The fourth proportional to 3,219,417,823.40, 4,829,126,735.10 and 3,219,417,823.40 is: 4,829,126,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,417,823.40 : 4,829,126,735.10 = 3,219,417,823.40 : x
  2. Step 2: Convert to fraction form
    3,219,417,823.40/4,829,126,735.10 = 3,219,417,823.40/x
  3. Step 3: Cross multiply
    3,219,417,823.40x = 4,829,126,735.10 × 3,219,417,823.40
  4. Step 4: Simplify right side
    3,219,417,823.40x = 15,546,976,682,438,391,808
  5. Step 5: Solve for x
    x = 15,546,976,682,438,391,808/3,219,417,823.40
  6. Step 6: Final answer
    x = 4,829,126,735.10

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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.