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Finding the Fourth Proportional to 343,996,064.10, 482,954,978.70 and 343,996,064.10

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Solution

The fourth proportional to 343,996,064.10, 482,954,978.70 and 343,996,064.10 is: 482,954,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,996,064.10 : 482,954,978.70 = 343,996,064.10 : x
  2. Step 2: Convert to fraction form
    343,996,064.10/482,954,978.70 = 343,996,064.10/x
  3. Step 3: Cross multiply
    343,996,064.10x = 482,954,978.70 × 343,996,064.10
  4. Step 4: Simplify right side
    343,996,064.10x = 166,134,611,810,299,328
  5. Step 5: Solve for x
    x = 166,134,611,810,299,328/343,996,064.10
  6. Step 6: Final answer
    x = 482,954,978.70

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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.