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Finding the Fourth Proportional to 702,837,783.92, 969,914,468.22 and 385,297,465.88

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Solution

The fourth proportional to 702,837,783.92, 969,914,468.22 and 385,297,465.88 is: 531,709,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,837,783.92 : 969,914,468.22 = 385,297,465.88 : x
  2. Step 2: Convert to fraction form
    702,837,783.92/969,914,468.22 = 385,297,465.88/x
  3. Step 3: Cross multiply
    702,837,783.92x = 969,914,468.22 × 385,297,465.88
  4. Step 4: Simplify right side
    702,837,783.92x = 373,705,586,725,513,792
  5. Step 5: Solve for x
    x = 373,705,586,725,513,792/702,837,783.92
  6. Step 6: Final answer
    x = 531,709,585.45

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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.