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Finding the Fourth Proportional to 313,889,957,999.10, 470,834,936,998.64 and 313,889,957,999.10

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Solution

The fourth proportional to 313,889,957,999.10, 470,834,936,998.64 and 313,889,957,999.10 is: 470,834,936,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,889,957,999.10 : 470,834,936,998.64 = 313,889,957,999.10 : x
  2. Step 2: Convert to fraction form
    313,889,957,999.10/470,834,936,998.64 = 313,889,957,999.10/x
  3. Step 3: Cross multiply
    313,889,957,999.10x = 470,834,936,998.64 × 313,889,957,999.10
  4. Step 4: Simplify right side
    313,889,957,999.10x = 147,790,358,599,011,991,027,712
  5. Step 5: Solve for x
    x = 147,790,358,599,011,991,027,712/313,889,957,999.10
  6. Step 6: Final answer
    x = 470,834,936,998.64

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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.