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Finding the Fourth Proportional to 730,733,978.80, 1,096,100,968.20 and 575,765,783.20

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Solution

The fourth proportional to 730,733,978.80, 1,096,100,968.20 and 575,765,783.20 is: 863,648,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,733,978.80 : 1,096,100,968.20 = 575,765,783.20 : x
  2. Step 2: Convert to fraction form
    730,733,978.80/1,096,100,968.20 = 575,765,783.20/x
  3. Step 3: Cross multiply
    730,733,978.80x = 1,096,100,968.20 × 575,765,783.20
  4. Step 4: Simplify right side
    730,733,978.80x = 631,097,432,421,951,360
  5. Step 5: Solve for x
    x = 631,097,432,421,951,360/730,733,978.80
  6. Step 6: Final answer
    x = 863,648,674.80

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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.