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Finding the Fourth Proportional to 540,994,153.55, 746,573,369.22 and 293,475,507.80

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Solution

The fourth proportional to 540,994,153.55, 746,573,369.22 and 293,475,507.80 is: 404,996,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,994,153.55 : 746,573,369.22 = 293,475,507.80 : x
  2. Step 2: Convert to fraction form
    540,994,153.55/746,573,369.22 = 293,475,507.80/x
  3. Step 3: Cross multiply
    540,994,153.55x = 746,573,369.22 × 293,475,507.80
  4. Step 4: Simplify right side
    540,994,153.55x = 219,100,998,638,063,552
  5. Step 5: Solve for x
    x = 219,100,998,638,063,552/540,994,153.55
  6. Step 6: Final answer
    x = 404,996,980.47

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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.