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Finding the Fourth Proportional to 104,328,138,509.60, 156,492,207,764.40 and 104,328,138,509.60

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Solution

The fourth proportional to 104,328,138,509.60, 156,492,207,764.40 and 104,328,138,509.60 is: 156,492,207,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328,138,509.60 : 156,492,207,764.40 = 104,328,138,509.60 : x
  2. Step 2: Convert to fraction form
    104,328,138,509.60/156,492,207,764.40 = 104,328,138,509.60/x
  3. Step 3: Cross multiply
    104,328,138,509.60x = 156,492,207,764.40 × 104,328,138,509.60
  4. Step 4: Simplify right side
    104,328,138,509.60x = 16,326,540,727,317,423,980,544
  5. Step 5: Solve for x
    x = 16,326,540,727,317,423,980,544/104,328,138,509.60
  6. Step 6: Final answer
    x = 156,492,207,764.40

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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.