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Finding the Fourth Proportional to 559,879,551.30, 839,819,326.95 and 442,978,277.70

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Solution

The fourth proportional to 559,879,551.30, 839,819,326.95 and 442,978,277.70 is: 664,467,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,879,551.30 : 839,819,326.95 = 442,978,277.70 : x
  2. Step 2: Convert to fraction form
    559,879,551.30/839,819,326.95 = 442,978,277.70/x
  3. Step 3: Cross multiply
    559,879,551.30x = 839,819,326.95 × 442,978,277.70
  4. Step 4: Simplify right side
    559,879,551.30x = 372,021,719,031,484,224
  5. Step 5: Solve for x
    x = 372,021,719,031,484,224/559,879,551.30
  6. Step 6: Final answer
    x = 664,467,416.55

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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.