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Finding the Fourth Proportional to 386,995,113.80, 543,323,709.40 and 386,995,113.80

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Solution

The fourth proportional to 386,995,113.80, 543,323,709.40 and 386,995,113.80 is: 543,323,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,995,113.80 : 543,323,709.40 = 386,995,113.80 : x
  2. Step 2: Convert to fraction form
    386,995,113.80/543,323,709.40 = 386,995,113.80/x
  3. Step 3: Cross multiply
    386,995,113.80x = 543,323,709.40 × 386,995,113.80
  4. Step 4: Simplify right side
    386,995,113.80x = 210,263,620,749,491,136
  5. Step 5: Solve for x
    x = 210,263,620,749,491,136/386,995,113.80
  6. Step 6: Final answer
    x = 543,323,709.40

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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.