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Finding the Fourth Proportional to 290,445,913.80, 435,071,673.90 and 199,672,000.20

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Solution

The fourth proportional to 290,445,913.80, 435,071,673.90 and 199,672,000.20 is: 299,097,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,445,913.80 : 435,071,673.90 = 199,672,000.20 : x
  2. Step 2: Convert to fraction form
    290,445,913.80/435,071,673.90 = 199,672,000.20/x
  3. Step 3: Cross multiply
    290,445,913.80x = 435,071,673.90 × 199,672,000.20
  4. Step 4: Simplify right side
    290,445,913.80x = 86,871,631,357,975,120
  5. Step 5: Solve for x
    x = 86,871,631,357,975,120/290,445,913.80
  6. Step 6: Final answer
    x = 299,097,447.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.