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Finding the Fourth Proportional to 550,562,685.80, 759,747,594.66 and 302,996,722.28

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Solution

The fourth proportional to 550,562,685.80, 759,747,594.66 and 302,996,722.28 is: 418,119,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,562,685.80 : 759,747,594.66 = 302,996,722.28 : x
  2. Step 2: Convert to fraction form
    550,562,685.80/759,747,594.66 = 302,996,722.28/x
  3. Step 3: Cross multiply
    550,562,685.80x = 759,747,594.66 × 302,996,722.28
  4. Step 4: Simplify right side
    550,562,685.80x = 230,201,030,942,093,984
  5. Step 5: Solve for x
    x = 230,201,030,942,093,984/550,562,685.80
  6. Step 6: Final answer
    x = 418,119,565.45

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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.