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Finding the Fourth Proportional to 173,840,256,094.70, 260,760,384,142.29 and 173,840,256,094.70

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Solution

The fourth proportional to 173,840,256,094.70, 260,760,384,142.29 and 173,840,256,094.70 is: 260,760,384,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,256,094.70 : 260,760,384,142.29 = 173,840,256,094.70 : x
  2. Step 2: Convert to fraction form
    173,840,256,094.70/260,760,384,142.29 = 173,840,256,094.70/x
  3. Step 3: Cross multiply
    173,840,256,094.70x = 260,760,384,142.29 × 173,840,256,094.70
  4. Step 4: Simplify right side
    173,840,256,094.70x = 45,330,651,958,648,045,043,712
  5. Step 5: Solve for x
    x = 45,330,651,958,648,045,043,712/173,840,256,094.70
  6. Step 6: Final answer
    x = 260,760,384,142.29

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1.5x scale

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.