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Finding the Fourth Proportional to 559,873,343.80, 839,810,015.70 and 284,374,329.40

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Solution

The fourth proportional to 559,873,343.80, 839,810,015.70 and 284,374,329.40 is: 426,561,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,343.80 : 839,810,015.70 = 284,374,329.40 : x
  2. Step 2: Convert to fraction form
    559,873,343.80/839,810,015.70 = 284,374,329.40/x
  3. Step 3: Cross multiply
    559,873,343.80x = 839,810,015.70 × 284,374,329.40
  4. Step 4: Simplify right side
    559,873,343.80x = 238,820,410,038,090,976
  5. Step 5: Solve for x
    x = 238,820,410,038,090,976/559,873,343.80
  6. Step 6: Final answer
    x = 426,561,494.10

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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.