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Finding the Fourth Proportional to 275,817,879,042.60, 413,726,818,563.90 and 275,817,879,042.60

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Solution

The fourth proportional to 275,817,879,042.60, 413,726,818,563.90 and 275,817,879,042.60 is: 413,726,818,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,817,879,042.60 : 413,726,818,563.90 = 275,817,879,042.60 : x
  2. Step 2: Convert to fraction form
    275,817,879,042.60/413,726,818,563.90 = 275,817,879,042.60/x
  3. Step 3: Cross multiply
    275,817,879,042.60x = 413,726,818,563.90 × 275,817,879,042.60
  4. Step 4: Simplify right side
    275,817,879,042.60x = 114,113,253,599,337,477,308,416
  5. Step 5: Solve for x
    x = 114,113,253,599,337,477,308,416/275,817,879,042.60
  6. Step 6: Final answer
    x = 413,726,818,563.90

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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.