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Finding the Fourth Proportional to 341,497,909, 512,261,035.32 and 99,160,813

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Solution

The fourth proportional to 341,497,909, 512,261,035.32 and 99,160,813 is: 148,745,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,497,909 : 512,261,035.32 = 99,160,813 : x
  2. Step 2: Convert to fraction form
    341,497,909/512,261,035.32 = 99,160,813/x
  3. Step 3: Cross multiply
    341,497,909x = 512,261,035.32 × 99,160,813
  4. Step 4: Simplify right side
    341,497,909x = 50,796,220,730,552,912
  5. Step 5: Solve for x
    x = 50,796,220,730,552,912/341,497,909
  6. Step 6: Final answer
    x = 148,745,334.57

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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.