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Finding the Fourth Proportional to 569,771,517.60, 854,657,276.40 and 477,938,512.80

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Solution

The fourth proportional to 569,771,517.60, 854,657,276.40 and 477,938,512.80 is: 716,907,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,771,517.60 : 854,657,276.40 = 477,938,512.80 : x
  2. Step 2: Convert to fraction form
    569,771,517.60/854,657,276.40 = 477,938,512.80/x
  3. Step 3: Cross multiply
    569,771,517.60x = 854,657,276.40 × 477,938,512.80
  4. Step 4: Simplify right side
    569,771,517.60x = 408,473,627,636,314,560
  5. Step 5: Solve for x
    x = 408,473,627,636,314,560/569,771,517.60
  6. Step 6: Final answer
    x = 716,907,769.20

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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.