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Finding the Fourth Proportional to 173,840,256,000.08, 260,760,384,000.12 and 173,840,256,000.08

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Solution

The fourth proportional to 173,840,256,000.08, 260,760,384,000.12 and 173,840,256,000.08 is: 260,760,384,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,256,000.08 : 260,760,384,000.12 = 173,840,256,000.08 : x
  2. Step 2: Convert to fraction form
    173,840,256,000.08/260,760,384,000.12 = 173,840,256,000.08/x
  3. Step 3: Cross multiply
    173,840,256,000.08x = 260,760,384,000.12 × 173,840,256,000.08
  4. Step 4: Simplify right side
    173,840,256,000.08x = 45,330,651,909,260,023,169,024
  5. Step 5: Solve for x
    x = 45,330,651,909,260,023,169,024/173,840,256,000.08
  6. Step 6: Final answer
    x = 260,760,384,000.12

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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.