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Finding the Fourth Proportional to 209,898,432,783.20, 314,847,649,174.80 and 209,898,432,783.20

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Solution

The fourth proportional to 209,898,432,783.20, 314,847,649,174.80 and 209,898,432,783.20 is: 314,847,649,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898,432,783.20 : 314,847,649,174.80 = 209,898,432,783.20 : x
  2. Step 2: Convert to fraction form
    209,898,432,783.20/314,847,649,174.80 = 209,898,432,783.20/x
  3. Step 3: Cross multiply
    209,898,432,783.20x = 314,847,649,174.80 × 209,898,432,783.20
  4. Step 4: Simplify right side
    209,898,432,783.20x = 66,086,028,127,265,290,715,136
  5. Step 5: Solve for x
    x = 66,086,028,127,265,290,715,136/209,898,432,783.20
  6. Step 6: Final answer
    x = 314,847,649,174.80

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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.