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Finding the Fourth Proportional to 458,662,728.80, 643,941,805.60 and 458,662,728.80

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Solution

The fourth proportional to 458,662,728.80, 643,941,805.60 and 458,662,728.80 is: 643,941,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,662,728.80 : 643,941,805.60 = 458,662,728.80 : x
  2. Step 2: Convert to fraction form
    458,662,728.80/643,941,805.60 = 458,662,728.80/x
  3. Step 3: Cross multiply
    458,662,728.80x = 643,941,805.60 × 458,662,728.80
  4. Step 4: Simplify right side
    458,662,728.80x = 295,352,105,744,895,168
  5. Step 5: Solve for x
    x = 295,352,105,744,895,168/458,662,728.80
  6. Step 6: Final answer
    x = 643,941,805.60

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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.