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Finding the Fourth Proportional to 550,646,865.40, 825,997,744.04 and 157,232,041.80

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Solution

The fourth proportional to 550,646,865.40, 825,997,744.04 and 157,232,041.80 is: 235,855,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,646,865.40 : 825,997,744.04 = 157,232,041.80 : x
  2. Step 2: Convert to fraction form
    550,646,865.40/825,997,744.04 = 157,232,041.80/x
  3. Step 3: Cross multiply
    550,646,865.40x = 825,997,744.04 × 157,232,041.80
  4. Step 4: Simplify right side
    550,646,865.40x = 129,873,311,817,602,992
  5. Step 5: Solve for x
    x = 129,873,311,817,602,992/550,646,865.40
  6. Step 6: Final answer
    x = 235,855,899.63

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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.