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Finding the Fourth Proportional to 275,817,879,019.35, 413,726,818,529.06 and 275,817,879,019.35

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Solution

The fourth proportional to 275,817,879,019.35, 413,726,818,529.06 and 275,817,879,019.35 is: 413,726,818,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,817,879,019.35 : 413,726,818,529.06 = 275,817,879,019.35 : x
  2. Step 2: Convert to fraction form
    275,817,879,019.35/413,726,818,529.06 = 275,817,879,019.35/x
  3. Step 3: Cross multiply
    275,817,879,019.35x = 413,726,818,529.06 × 275,817,879,019.35
  4. Step 4: Simplify right side
    275,817,879,019.35x = 114,113,253,580,108,824,838,144
  5. Step 5: Solve for x
    x = 114,113,253,580,108,824,838,144/275,817,879,019.35
  6. Step 6: Final answer
    x = 413,726,818,529.06

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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.