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Finding the Fourth Proportional to 104,328,138,505.60, 156,492,207,758.40 and 104,328,138,505.60

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Solution

The fourth proportional to 104,328,138,505.60, 156,492,207,758.40 and 104,328,138,505.60 is: 156,492,207,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328,138,505.60 : 156,492,207,758.40 = 104,328,138,505.60 : x
  2. Step 2: Convert to fraction form
    104,328,138,505.60/156,492,207,758.40 = 104,328,138,505.60/x
  3. Step 3: Cross multiply
    104,328,138,505.60x = 156,492,207,758.40 × 104,328,138,505.60
  4. Step 4: Simplify right side
    104,328,138,505.60x = 16,326,540,726,065,487,151,104
  5. Step 5: Solve for x
    x = 16,326,540,726,065,487,151,104/104,328,138,505.60
  6. Step 6: Final answer
    x = 156,492,207,758.40

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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.