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Finding the Fourth Proportional to 102,078,452,951.82, 153,117,679,427.73 and 102,078,452,951.82

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Solution

The fourth proportional to 102,078,452,951.82, 153,117,679,427.73 and 102,078,452,951.82 is: 153,117,679,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078,452,951.82 : 153,117,679,427.73 = 102,078,452,951.82 : x
  2. Step 2: Convert to fraction form
    102,078,452,951.82/153,117,679,427.73 = 102,078,452,951.82/x
  3. Step 3: Cross multiply
    102,078,452,951.82x = 153,117,679,427.73 × 102,078,452,951.82
  4. Step 4: Simplify right side
    102,078,452,951.82x = 15,630,015,835,555,395,272,704
  5. Step 5: Solve for x
    x = 15,630,015,835,555,395,272,704/102,078,452,951.82
  6. Step 6: Final answer
    x = 153,117,679,427.73

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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.