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Finding the Fourth Proportional to 458,663,409.30, 643,942,758.30 and 458,663,409.30

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Solution

The fourth proportional to 458,663,409.30, 643,942,758.30 and 458,663,409.30 is: 643,942,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,663,409.30 : 643,942,758.30 = 458,663,409.30 : x
  2. Step 2: Convert to fraction form
    458,663,409.30/643,942,758.30 = 458,663,409.30/x
  3. Step 3: Cross multiply
    458,663,409.30x = 643,942,758.30 × 458,663,409.30
  4. Step 4: Simplify right side
    458,663,409.30x = 295,352,980,915,923,840
  5. Step 5: Solve for x
    x = 295,352,980,915,923,840/458,663,409.30
  6. Step 6: Final answer
    x = 643,942,758.30

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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.