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Finding the Fourth Proportional to 458,663,010.80, 643,942,200.40 and 458,663,010.80

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Solution

The fourth proportional to 458,663,010.80, 643,942,200.40 and 458,663,010.80 is: 643,942,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,663,010.80 : 643,942,200.40 = 458,663,010.80 : x
  2. Step 2: Convert to fraction form
    458,663,010.80/643,942,200.40 = 458,663,010.80/x
  3. Step 3: Cross multiply
    458,663,010.80x = 643,942,200.40 × 458,663,010.80
  4. Step 4: Simplify right side
    458,663,010.80x = 295,352,468,416,640,960
  5. Step 5: Solve for x
    x = 295,352,468,416,640,960/458,663,010.80
  6. Step 6: Final answer
    x = 643,942,200.40

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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.