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Finding the Fourth Proportional to 347,680,512,071.78, 521,520,768,107.67 and 347,680,512,071.78

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Solution

The fourth proportional to 347,680,512,071.78, 521,520,768,107.67 and 347,680,512,071.78 is: 521,520,768,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,680,512,071.78 : 521,520,768,107.67 = 347,680,512,071.78 : x
  2. Step 2: Convert to fraction form
    347,680,512,071.78/521,520,768,107.67 = 347,680,512,071.78/x
  3. Step 3: Cross multiply
    347,680,512,071.78x = 521,520,768,107.67 × 347,680,512,071.78
  4. Step 4: Simplify right side
    347,680,512,071.78x = 181,322,607,711,742,760,845,312
  5. Step 5: Solve for x
    x = 181,322,607,711,742,760,845,312/347,680,512,071.78
  6. Step 6: Final answer
    x = 521,520,768,107.67

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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.