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Finding the Fourth Proportional to 482,691,408,049.10, 724,037,112,073.65 and 482,691,408,049.10

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Solution

The fourth proportional to 482,691,408,049.10, 724,037,112,073.65 and 482,691,408,049.10 is: 724,037,112,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,691,408,049.10 : 724,037,112,073.65 = 482,691,408,049.10 : x
  2. Step 2: Convert to fraction form
    482,691,408,049.10/724,037,112,073.65 = 482,691,408,049.10/x
  3. Step 3: Cross multiply
    482,691,408,049.10x = 724,037,112,073.65 × 482,691,408,049.10
  4. Step 4: Simplify right side
    482,691,408,049.10x = 349,486,493,106,634,135,437,312
  5. Step 5: Solve for x
    x = 349,486,493,106,634,135,437,312/482,691,408,049.10
  6. Step 6: Final answer
    x = 724,037,112,073.65

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Double scale
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Similar ratio
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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.