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Finding the Fourth Proportional to 275,835,609,114.16, 413,753,413,671.16 and 275,835,609,114.16

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Solution

The fourth proportional to 275,835,609,114.16, 413,753,413,671.16 and 275,835,609,114.16 is: 413,753,413,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,609,114.16 : 413,753,413,671.16 = 275,835,609,114.16 : x
  2. Step 2: Convert to fraction form
    275,835,609,114.16/413,753,413,671.16 = 275,835,609,114.16/x
  3. Step 3: Cross multiply
    275,835,609,114.16x = 413,753,413,671.16 × 275,835,609,114.16
  4. Step 4: Simplify right side
    275,835,609,114.16x = 114,127,924,883,047,418,167,296
  5. Step 5: Solve for x
    x = 114,127,924,883,047,418,167,296/275,835,609,114.16
  6. Step 6: Final answer
    x = 413,753,413,671.16

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1.5x scale

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.