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Finding the Fourth Proportional to 313,937,856,000.10, 470,906,784,000.14 and 313,937,856,000.10

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Solution

The fourth proportional to 313,937,856,000.10, 470,906,784,000.14 and 313,937,856,000.10 is: 470,906,784,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937,856,000.10 : 470,906,784,000.14 = 313,937,856,000.10 : x
  2. Step 2: Convert to fraction form
    313,937,856,000.10/470,906,784,000.14 = 313,937,856,000.10/x
  3. Step 3: Cross multiply
    313,937,856,000.10x = 470,906,784,000.14 × 313,937,856,000.10
  4. Step 4: Simplify right side
    313,937,856,000.10x = 147,835,466,144,906,133,635,072
  5. Step 5: Solve for x
    x = 147,835,466,144,906,133,635,072/313,937,856,000.10
  6. Step 6: Final answer
    x = 470,906,784,000.14

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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.