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Finding the Fourth Proportional to 349,073,313,755.40, 523,609,970,633.10 and 349,073,313,755.40

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Solution

The fourth proportional to 349,073,313,755.40, 523,609,970,633.10 and 349,073,313,755.40 is: 523,609,970,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,073,313,755.40 : 523,609,970,633.10 = 349,073,313,755.40 : x
  2. Step 2: Convert to fraction form
    349,073,313,755.40/523,609,970,633.10 = 349,073,313,755.40/x
  3. Step 3: Cross multiply
    349,073,313,755.40x = 523,609,970,633.10 × 349,073,313,755.40
  4. Step 4: Simplify right side
    349,073,313,755.40x = 182,778,267,564,263,899,922,432
  5. Step 5: Solve for x
    x = 182,778,267,564,263,899,922,432/349,073,313,755.40
  6. Step 6: Final answer
    x = 523,609,970,633.10

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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.