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Finding the Fourth Proportional to 590,491,041.20, 885,736,561.80 and 181,494,047.60

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Solution

The fourth proportional to 590,491,041.20, 885,736,561.80 and 181,494,047.60 is: 272,241,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,491,041.20 : 885,736,561.80 = 181,494,047.60 : x
  2. Step 2: Convert to fraction form
    590,491,041.20/885,736,561.80 = 181,494,047.60/x
  3. Step 3: Cross multiply
    590,491,041.20x = 885,736,561.80 × 181,494,047.60
  4. Step 4: Simplify right side
    590,491,041.20x = 160,755,913,708,389,536
  5. Step 5: Solve for x
    x = 160,755,913,708,389,536/590,491,041.20
  6. Step 6: Final answer
    x = 272,241,071.40

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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.