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Finding the Fourth Proportional to 569,771,429.60, 854,657,144.40 and 477,938,424.80

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Solution

The fourth proportional to 569,771,429.60, 854,657,144.40 and 477,938,424.80 is: 716,907,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,771,429.60 : 854,657,144.40 = 477,938,424.80 : x
  2. Step 2: Convert to fraction form
    569,771,429.60/854,657,144.40 = 477,938,424.80/x
  3. Step 3: Cross multiply
    569,771,429.60x = 854,657,144.40 × 477,938,424.80
  4. Step 4: Simplify right side
    569,771,429.60x = 408,473,489,338,602,112
  5. Step 5: Solve for x
    x = 408,473,489,338,602,112/569,771,429.60
  6. Step 6: Final answer
    x = 716,907,637.20

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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.