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Finding the Fourth Proportional to 64,446,116,276.80, 96,669,174,415.20 and 64,446,116,276.80

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Solution

The fourth proportional to 64,446,116,276.80, 96,669,174,415.20 and 64,446,116,276.80 is: 96,669,174,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,446,116,276.80 : 96,669,174,415.20 = 64,446,116,276.80 : x
  2. Step 2: Convert to fraction form
    64,446,116,276.80/96,669,174,415.20 = 64,446,116,276.80/x
  3. Step 3: Cross multiply
    64,446,116,276.80x = 96,669,174,415.20 × 64,446,116,276.80
  4. Step 4: Simplify right side
    64,446,116,276.80x = 6,229,952,854,744,239,177,728
  5. Step 5: Solve for x
    x = 6,229,952,854,744,239,177,728/64,446,116,276.80
  6. Step 6: Final answer
    x = 96,669,174,415.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.