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Finding the Fourth Proportional to 577,733,259.60, 866,096,004.60 and 347,793,829.20

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Solution

The fourth proportional to 577,733,259.60, 866,096,004.60 and 347,793,829.20 is: 521,387,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,733,259.60 : 866,096,004.60 = 347,793,829.20 : x
  2. Step 2: Convert to fraction form
    577,733,259.60/866,096,004.60 = 347,793,829.20/x
  3. Step 3: Cross multiply
    577,733,259.60x = 866,096,004.60 × 347,793,829.20
  4. Step 4: Simplify right side
    577,733,259.60x = 301,222,845,894,654,784
  5. Step 5: Solve for x
    x = 301,222,845,894,654,784/577,733,259.60
  6. Step 6: Final answer
    x = 521,387,406.54

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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.