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Finding the Fourth Proportional to 470,064,457.80, 658,770,485.40 and 470,064,457.80

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Solution

The fourth proportional to 470,064,457.80, 658,770,485.40 and 470,064,457.80 is: 658,770,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,064,457.80 : 658,770,485.40 = 470,064,457.80 : x
  2. Step 2: Convert to fraction form
    470,064,457.80/658,770,485.40 = 470,064,457.80/x
  3. Step 3: Cross multiply
    470,064,457.80x = 658,770,485.40 × 470,064,457.80
  4. Step 4: Simplify right side
    470,064,457.80x = 309,664,591,034,193,792
  5. Step 5: Solve for x
    x = 309,664,591,034,193,792/470,064,457.80
  6. Step 6: Final answer
    x = 658,770,485.40

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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.