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Finding the Fourth Proportional to 531,779,138.40, 733,977,655 and 311,833,423.20

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Solution

The fourth proportional to 531,779,138.40, 733,977,655 and 311,833,423.20 is: 430,401,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,779,138.40 : 733,977,655 = 311,833,423.20 : x
  2. Step 2: Convert to fraction form
    531,779,138.40/733,977,655 = 311,833,423.20/x
  3. Step 3: Cross multiply
    531,779,138.40x = 733,977,655 × 311,833,423.20
  4. Step 4: Simplify right side
    531,779,138.40x = 228,878,764,710,958,592
  5. Step 5: Solve for x
    x = 228,878,764,710,958,592/531,779,138.40
  6. Step 6: Final answer
    x = 430,401,924.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.