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Finding the Fourth Proportional to 307,766,930.64, 461,678,775.70 and 100,506,427.56

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Solution

The fourth proportional to 307,766,930.64, 461,678,775.70 and 100,506,427.56 is: 150,768,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,766,930.64 : 461,678,775.70 = 100,506,427.56 : x
  2. Step 2: Convert to fraction form
    307,766,930.64/461,678,775.70 = 100,506,427.56/x
  3. Step 3: Cross multiply
    307,766,930.64x = 461,678,775.70 × 100,506,427.56
  4. Step 4: Simplify right side
    307,766,930.64x = 46,401,684,425,881,536
  5. Step 5: Solve for x
    x = 46,401,684,425,881,536/307,766,930.64
  6. Step 6: Final answer
    x = 150,768,909.22

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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.