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Finding the Fourth Proportional to 156,492,208,889.40, 234,738,313,334.10 and 156,492,208,889.40

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Solution

The fourth proportional to 156,492,208,889.40, 234,738,313,334.10 and 156,492,208,889.40 is: 234,738,313,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,492,208,889.40 : 234,738,313,334.10 = 156,492,208,889.40 : x
  2. Step 2: Convert to fraction form
    156,492,208,889.40/234,738,313,334.10 = 156,492,208,889.40/x
  3. Step 3: Cross multiply
    156,492,208,889.40x = 234,738,313,334.10 × 156,492,208,889.40
  4. Step 4: Simplify right side
    156,492,208,889.40x = 36,734,717,164,625,405,673,472
  5. Step 5: Solve for x
    x = 36,734,717,164,625,405,673,472/156,492,208,889.40
  6. Step 6: Final answer
    x = 234,738,313,334.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.