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Finding the Fourth Proportional to 156,492,208,980.90, 234,738,313,471.35 and 156,492,208,980.90

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Solution

The fourth proportional to 156,492,208,980.90, 234,738,313,471.35 and 156,492,208,980.90 is: 234,738,313,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,492,208,980.90 : 234,738,313,471.35 = 156,492,208,980.90 : x
  2. Step 2: Convert to fraction form
    156,492,208,980.90/234,738,313,471.35 = 156,492,208,980.90/x
  3. Step 3: Cross multiply
    156,492,208,980.90x = 234,738,313,471.35 × 156,492,208,980.90
  4. Step 4: Simplify right side
    156,492,208,980.90x = 36,734,717,207,582,519,328,768
  5. Step 5: Solve for x
    x = 36,734,717,207,582,519,328,768/156,492,208,980.90
  6. Step 6: Final answer
    x = 234,738,313,471.35

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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.