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Finding the Fourth Proportional to 343,997,999.60, 482,957,688.40 and 343,997,999.60

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Solution

The fourth proportional to 343,997,999.60, 482,957,688.40 and 343,997,999.60 is: 482,957,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,997,999.60 : 482,957,688.40 = 343,997,999.60 : x
  2. Step 2: Convert to fraction form
    343,997,999.60/482,957,688.40 = 343,997,999.60/x
  3. Step 3: Cross multiply
    343,997,999.60x = 482,957,688.40 × 343,997,999.60
  4. Step 4: Simplify right side
    343,997,999.60x = 166,136,478,701,040,128
  5. Step 5: Solve for x
    x = 166,136,478,701,040,128/343,997,999.60
  6. Step 6: Final answer
    x = 482,957,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.