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Finding the Fourth Proportional to 666,562,852.80, 930,892,168.80 and 666,562,852.80

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Solution

The fourth proportional to 666,562,852.80, 930,892,168.80 and 666,562,852.80 is: 930,892,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,562,852.80 : 930,892,168.80 = 666,562,852.80 : x
  2. Step 2: Convert to fraction form
    666,562,852.80/930,892,168.80 = 666,562,852.80/x
  3. Step 3: Cross multiply
    666,562,852.80x = 930,892,168.80 × 666,562,852.80
  4. Step 4: Simplify right side
    666,562,852.80x = 620,498,139,684,507,136
  5. Step 5: Solve for x
    x = 620,498,139,684,507,136/666,562,852.80
  6. Step 6: Final answer
    x = 930,892,168.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.