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Finding the Fourth Proportional to 310,328,738,999.10, 465,493,108,498.65 and 310,328,738,999.10

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Solution

The fourth proportional to 310,328,738,999.10, 465,493,108,498.65 and 310,328,738,999.10 is: 465,493,108,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328,738,999.10 : 465,493,108,498.65 = 310,328,738,999.10 : x
  2. Step 2: Convert to fraction form
    310,328,738,999.10/465,493,108,498.65 = 310,328,738,999.10/x
  3. Step 3: Cross multiply
    310,328,738,999.10x = 465,493,108,498.65 × 310,328,738,999.10
  4. Step 4: Simplify right side
    310,328,738,999.10x = 144,455,889,373,157,293,817,856
  5. Step 5: Solve for x
    x = 144,455,889,373,157,293,817,856/310,328,738,999.10
  6. Step 6: Final answer
    x = 465,493,108,498.65

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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.