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Finding the Fourth Proportional to 497,291,268.80, 745,936,903.20 and 169,657,892.30

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Solution

The fourth proportional to 497,291,268.80, 745,936,903.20 and 169,657,892.30 is: 254,486,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,291,268.80 : 745,936,903.20 = 169,657,892.30 : x
  2. Step 2: Convert to fraction form
    497,291,268.80/745,936,903.20 = 169,657,892.30/x
  3. Step 3: Cross multiply
    497,291,268.80x = 745,936,903.20 × 169,657,892.30
  4. Step 4: Simplify right side
    497,291,268.80x = 126,554,082,785,701,136
  5. Step 5: Solve for x
    x = 126,554,082,785,701,136/497,291,268.80
  6. Step 6: Final answer
    x = 254,486,838.45

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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.