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Finding the Fourth Proportional to 298,678,055,999.20, 448,017,083,998.80 and 298,678,055,999.20

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Solution

The fourth proportional to 298,678,055,999.20, 448,017,083,998.80 and 298,678,055,999.20 is: 448,017,083,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678,055,999.20 : 448,017,083,998.80 = 298,678,055,999.20 : x
  2. Step 2: Convert to fraction form
    298,678,055,999.20/448,017,083,998.80 = 298,678,055,999.20/x
  3. Step 3: Cross multiply
    298,678,055,999.20x = 448,017,083,998.80 × 298,678,055,999.20
  4. Step 4: Simplify right side
    298,678,055,999.20x = 133,812,871,703,191,881,777,152
  5. Step 5: Solve for x
    x = 133,812,871,703,191,881,777,152/298,678,055,999.20
  6. Step 6: Final answer
    x = 448,017,083,998.80

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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.