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Finding the Fourth Proportional to 301,611,938.10, 452,417,907.15 and 186,820,682.10

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Solution

The fourth proportional to 301,611,938.10, 452,417,907.15 and 186,820,682.10 is: 280,231,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,611,938.10 : 452,417,907.15 = 186,820,682.10 : x
  2. Step 2: Convert to fraction form
    301,611,938.10/452,417,907.15 = 186,820,682.10/x
  3. Step 3: Cross multiply
    301,611,938.10x = 452,417,907.15 × 186,820,682.10
  4. Step 4: Simplify right side
    301,611,938.10x = 84,521,022,008,017,456
  5. Step 5: Solve for x
    x = 84,521,022,008,017,456/301,611,938.10
  6. Step 6: Final answer
    x = 280,231,023.15

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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.