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Finding the Fourth Proportional to 47,794,889,638.40, 71,692,334,457.60 and 47,794,889,638.40

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Solution

The fourth proportional to 47,794,889,638.40, 71,692,334,457.60 and 47,794,889,638.40 is: 71,692,334,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794,889,638.40 : 71,692,334,457.60 = 47,794,889,638.40 : x
  2. Step 2: Convert to fraction form
    47,794,889,638.40/71,692,334,457.60 = 47,794,889,638.40/x
  3. Step 3: Cross multiply
    47,794,889,638.40x = 71,692,334,457.60 × 47,794,889,638.40
  4. Step 4: Simplify right side
    47,794,889,638.40x = 3,426,527,213,320,253,997,056
  5. Step 5: Solve for x
    x = 3,426,527,213,320,253,997,056/47,794,889,638.40
  6. Step 6: Final answer
    x = 71,692,334,457.60

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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.