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Finding the Fourth Proportional to 305,194,003,770.60, 457,791,005,655.90 and 305,194,003,770.60

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Solution

The fourth proportional to 305,194,003,770.60, 457,791,005,655.90 and 305,194,003,770.60 is: 457,791,005,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,194,003,770.60 : 457,791,005,655.90 = 305,194,003,770.60 : x
  2. Step 2: Convert to fraction form
    305,194,003,770.60/457,791,005,655.90 = 305,194,003,770.60/x
  3. Step 3: Cross multiply
    305,194,003,770.60x = 457,791,005,655.90 × 305,194,003,770.60
  4. Step 4: Simplify right side
    305,194,003,770.60x = 139,715,069,906,293,503,295,488
  5. Step 5: Solve for x
    x = 139,715,069,906,293,503,295,488/305,194,003,770.60
  6. Step 6: Final answer
    x = 457,791,005,655.90

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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.