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Finding the Fourth Proportional to 702,666,472.80, 969,690,337.16 and 385,124,178.09

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Solution

The fourth proportional to 702,666,472.80, 969,690,337.16 and 385,124,178.09 is: 531,477,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,666,472.80 : 969,690,337.16 = 385,124,178.09 : x
  2. Step 2: Convert to fraction form
    702,666,472.80/969,690,337.16 = 385,124,178.09/x
  3. Step 3: Cross multiply
    702,666,472.80x = 969,690,337.16 × 385,124,178.09
  4. Step 4: Simplify right side
    702,666,472.80x = 373,451,194,100,559,936
  5. Step 5: Solve for x
    x = 373,451,194,100,559,936/702,666,472.80
  6. Step 6: Final answer
    x = 531,477,178.09

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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.