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Finding the Fourth Proportional to 275,663,952.15, 413,495,928.23 and 275,663,952.15

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Solution

The fourth proportional to 275,663,952.15, 413,495,928.23 and 275,663,952.15 is: 413,495,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,663,952.15 : 413,495,928.23 = 275,663,952.15 : x
  2. Step 2: Convert to fraction form
    275,663,952.15/413,495,928.23 = 275,663,952.15/x
  3. Step 3: Cross multiply
    275,663,952.15x = 413,495,928.23 × 275,663,952.15
  4. Step 4: Simplify right side
    275,663,952.15x = 113,985,921,772,436,224
  5. Step 5: Solve for x
    x = 113,985,921,772,436,224/275,663,952.15
  6. Step 6: Final answer
    x = 413,495,928.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.