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Finding the Fourth Proportional to 550,608,191.95, 759,854,967.83 and 299,728,762.80

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Solution

The fourth proportional to 550,608,191.95, 759,854,967.83 and 299,728,762.80 is: 413,634,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,608,191.95 : 759,854,967.83 = 299,728,762.80 : x
  2. Step 2: Convert to fraction form
    550,608,191.95/759,854,967.83 = 299,728,762.80/x
  3. Step 3: Cross multiply
    550,608,191.95x = 759,854,967.83 × 299,728,762.80
  4. Step 4: Simplify right side
    550,608,191.95x = 227,750,389,411,890,976
  5. Step 5: Solve for x
    x = 227,750,389,411,890,976/550,608,191.95
  6. Step 6: Final answer
    x = 413,634,218.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.