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Finding the Fourth Proportional to 702,666,471.17, 969,690,334.92 and 385,124,176.46

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Solution

The fourth proportional to 702,666,471.17, 969,690,334.92 and 385,124,176.46 is: 531,477,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,666,471.17 : 969,690,334.92 = 385,124,176.46 : x
  2. Step 2: Convert to fraction form
    702,666,471.17/969,690,334.92 = 385,124,176.46/x
  3. Step 3: Cross multiply
    702,666,471.17x = 969,690,334.92 × 385,124,176.46
  4. Step 4: Simplify right side
    702,666,471.17x = 373,451,191,658,266,560
  5. Step 5: Solve for x
    x = 373,451,191,658,266,560/702,666,471.17
  6. Step 6: Final answer
    x = 531,477,175.84

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Why These Related Problems?

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