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Finding the Fourth Proportional to 577,375,562.40, 866,063,343.60 and 393,709,552.80

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Solution

The fourth proportional to 577,375,562.40, 866,063,343.60 and 393,709,552.80 is: 590,564,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,375,562.40 : 866,063,343.60 = 393,709,552.80 : x
  2. Step 2: Convert to fraction form
    577,375,562.40/866,063,343.60 = 393,709,552.80/x
  3. Step 3: Cross multiply
    577,375,562.40x = 866,063,343.60 × 393,709,552.80
  4. Step 4: Simplify right side
    577,375,562.40x = 340,977,411,705,228,736
  5. Step 5: Solve for x
    x = 340,977,411,705,228,736/577,375,562.40
  6. Step 6: Final answer
    x = 590,564,329.20

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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.