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Finding the Fourth Proportional to 652,534,795.40, 978,802,193.10 and 394,545,777.80

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Solution

The fourth proportional to 652,534,795.40, 978,802,193.10 and 394,545,777.80 is: 591,818,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,534,795.40 : 978,802,193.10 = 394,545,777.80 : x
  2. Step 2: Convert to fraction form
    652,534,795.40/978,802,193.10 = 394,545,777.80/x
  3. Step 3: Cross multiply
    652,534,795.40x = 978,802,193.10 × 394,545,777.80
  4. Step 4: Simplify right side
    652,534,795.40x = 386,182,272,588,985,344
  5. Step 5: Solve for x
    x = 386,182,272,588,985,344/652,534,795.40
  6. Step 6: Final answer
    x = 591,818,666.70

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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.